diff --git a/package.json b/package.json
index 150d641..b79a451 100644
--- a/package.json
+++ b/package.json
@@ -20,7 +20,7 @@
     "eslint": "9.33.0",
     "eslint-plugin-format": "1.0.1",
     "markdown-it-task-lists": "2.1.1",
-    "mermaid": "11.12.0",
+    "mermaid": "11.12.2",
     "vitepress": "1.6.3",
     "vitepress-plugin-mermaid": "2.0.17"
   }
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index abad521..776afe4 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -28,14 +28,14 @@ importers:
         specifier: 2.1.1
         version: 2.1.1
       mermaid:
-        specifier: 11.12.0
-        version: 11.12.0
+        specifier: 11.12.2
+        version: 11.12.2
       vitepress:
         specifier: 1.6.3
         version: 1.6.3(@algolia/client-search@5.19.0)(@types/node@22.10.7)(postcss@8.5.1)(search-insights@2.17.3)(typescript@5.7.3)
       vitepress-plugin-mermaid:
         specifier: 2.0.17
-        version: 2.0.17(mermaid@11.12.0)(vitepress@1.6.3(@algolia/client-search@5.19.0)(@types/node@22.10.7)(postcss@8.5.1)(search-insights@2.17.3)(typescript@5.7.3))
+        version: 2.0.17(mermaid@11.12.2)(vitepress@1.6.3(@algolia/client-search@5.19.0)(@types/node@22.10.7)(postcss@8.5.1)(search-insights@2.17.3)(typescript@5.7.3))
 
   .vitepress/third_party/lumen/src:
     dependencies:
@@ -200,9 +200,6 @@ packages:
   '@antfu/utils@0.7.10':
     resolution: {integrity: sha512-+562v9k4aI80m1+VuMHehNJWLOFjBnXn3tdOitzD0il5b7smkSBal4+a3oKiQTbrwMmN/TBUMDvbdoWDehgOww==}
 
-  '@antfu/utils@9.2.1':
-    resolution: {integrity: sha512-TMilPqXyii1AsiEii6l6ubRzbo76p6oshUSYPaKsmXDavyMLqjzVDkcp3pHp5ELMUNJHATcEOGxKTTsX9yYhGg==}
-
   '@babel/code-frame@7.26.2':
     resolution: {integrity: sha512-RJlIHRueQgwWitWgF8OdFYGZX328Ax5BCemNGlqHfplnRT9ESi8JkFlvaVYbS+UubVY6dpv87Fs2u5M29iNFVQ==}
     engines: {node: '>=6.9.0'}
@@ -673,8 +670,8 @@ packages:
   '@iconify/types@2.0.0':
     resolution: {integrity: sha512-+wluvCrRhXrhyOmRDJ3q8mux9JkKy5SJ/v8ol2tu4FVjyYvtEzkc/3pK15ET6RKg4b4w4BmTk1+gsCUhf21Ykg==}
 
-  '@iconify/utils@3.0.2':
-    resolution: {integrity: sha512-EfJS0rLfVuRuJRn4psJHtK2A9TqVnkxPpHY6lYHiB9+8eSuudsxbwMiavocG45ujOo6FJ+CIRlRnlOGinzkaGQ==}
+  '@iconify/utils@3.1.0':
+    resolution: {integrity: sha512-Zlzem1ZXhI1iHeeERabLNzBHdOa4VhQbqAcOQaMKuTuyZCpwKbC2R4Dd0Zo3g9EAc+Y4fiarO8HIHRAth7+skw==}
 
   '@iconify/vue@4.3.0':
     resolution: {integrity: sha512-Xq0h6zMrHBbrW8jXJ9fISi+x8oDQllg5hTDkDuxnWiskJ63rpJu9CvJshj8VniHVTbsxCg9fVoPAaNp3RQI5OQ==}
@@ -687,8 +684,8 @@ packages:
   '@mermaid-js/mermaid-mindmap@9.3.0':
     resolution: {integrity: sha512-IhtYSVBBRYviH1Ehu8gk69pMDF8DSRqXBRDMWrEfHoaMruHeaP2DXA3PBnuwsMaCdPQhlUUcy/7DBLAEIXvCAw==}
 
-  '@mermaid-js/parser@0.6.2':
-    resolution: {integrity: sha512-+PO02uGF6L6Cs0Bw8RpGhikVvMWEysfAyl27qTlroUB8jSWr1lL0Sf6zi78ZxlSnmgSY2AMMKVgghnN9jTtwkQ==}
+  '@mermaid-js/parser@0.6.3':
+    resolution: {integrity: sha512-lnjOhe7zyHjc+If7yT4zoedx2vo4sHaTmtkl1+or8BRTnCtDmcTpAjpzDSfCZrshM5bCoz0GyidzadJAH1xobA==}
 
   '@nodelib/fs.scandir@2.1.5':
     resolution: {integrity: sha512-vq24Bq3ym5HEQm2NKCr3yXDwjc7vTsEThRDnkp2DK9p1uqLR+DHurm/NOTo0KG7HYHU7eppKZj3MyqYuMBf62g==}
@@ -1377,9 +1374,6 @@ packages:
   confbox@0.1.8:
     resolution: {integrity: sha512-RMtmw0iFkeR4YV+fUOSucriAQNb9g8zFR52MWCtl+cCZOFRNL6zeB395vPzFhEjjn4fMxXudmELnl/KF/WrK6w==}
 
-  confbox@0.2.2:
-    resolution: {integrity: sha512-1NB+BKqhtNipMsov4xI/NnhCKp9XG9NamYp5PVm9klAT0fsrNPjaFICsCFhNhwZJKNh7zB/3q8qXz0E9oaMNtQ==}
-
   consola@3.4.0:
     resolution: {integrity: sha512-EiPU8G6dQG0GFHNR8ljnZFki/8a+cQwEQ+7wpxdChl02Q8HXlwEZWD5lqAF8vC2sEC3Tehr8hy7vErz88LHyUA==}
     engines: {node: ^14.18.0 || >=16.10.0}
@@ -1562,14 +1556,14 @@ packages:
     resolution: {integrity: sha512-e1U46jVP+w7Iut8Jt8ri1YsPOvFpg46k+K8TpCb0P+zjCkjkPnV7WzfDJzMHy1LnA+wj5pLT1wjO901gLXeEhA==}
     engines: {node: '>=12'}
 
-  dagre-d3-es@7.0.11:
-    resolution: {integrity: sha512-tvlJLyQf834SylNKax8Wkzco/1ias1OPw8DcUMDE7oUIoSEW25riQVuiu/0OWEFqT0cxHT3Pa9/D82Jr47IONw==}
+  dagre-d3-es@7.0.13:
+    resolution: {integrity: sha512-efEhnxpSuwpYOKRm/L5KbqoZmNNukHa/Flty4Wp62JRvgH2ojwVgPgdYyr4twpieZnyRDdIH7PY2mopX26+j2Q==}
 
   dayjs@1.11.13:
     resolution: {integrity: sha512-oaMBel6gjolK862uaPQOVTA7q3TZhuSvuMQAAglQDOWYO9A91IrAOUJEyKVlqJlHE0vq5p5UXxzdPfMH/x6xNg==}
 
-  dayjs@1.11.18:
-    resolution: {integrity: sha512-zFBQ7WFRvVRhKcWoUh+ZA1g2HVgUbsZm9sbddh8EC5iv93sui8DVVz1Npvz+r6meo9VKfa8NyLWBsQK1VvIKPA==}
+  dayjs@1.11.19:
+    resolution: {integrity: sha512-t5EcLVS6QPBNqM2z8fakk/NKel+Xzshgt8FFKAn+qwlD1pzZWxh0nVCrvFK7ZDb6XucZeF9z8C7CBWTRIVApAw==}
 
   debug@3.2.7:
     resolution: {integrity: sha512-CFjzYYAi4ThfiQvizrFQevTTXHtnCqWfe7x1AhgEscTz6ZbLbfoLRLPugTQyBth6f8ZERVUSyWHFD/7Wu4t1XQ==}
@@ -1623,8 +1617,8 @@ packages:
     resolution: {integrity: sha512-yS+Q5i3hBf7GBkd4KG8a7eBNNWNGLTaEwwYWUijIYM7zrlYDM0BFXHjjPWlWZ1Rg7UaddZeIDmi9jF3HmqiQ2w==}
     engines: {node: '>=6.0.0'}
 
-  dompurify@3.2.7:
-    resolution: {integrity: sha512-WhL/YuveyGXJaerVlMYGWhvQswa7myDG17P7Vu65EWC05o8vfeNbvNf4d/BOvH99+ZW+LlQsc1GDKMa1vNK6dw==}
+  dompurify@3.3.0:
+    resolution: {integrity: sha512-r+f6MYR1gGN1eJv0TVQbhA7if/U7P87cdPl3HN5rikqaBSBxLiCb/b9O+2eG0cxz0ghyU+mU1QkbsOwERMYlWQ==}
 
   dotenv@16.4.7:
     resolution: {integrity: sha512-47qPchRCykZC03FhkYAhrvwU4xDBFIj1QPqaarj6mdM/hgUzfPHcpkHJOn3mJAufFeeAxAzeGsr5X0M4k6fLZQ==}
@@ -1883,9 +1877,6 @@ packages:
     resolution: {integrity: sha512-VyhnebXciFV2DESc+p6B+y0LjSm0krU4OgJN44qFAhBY0TJ+1V61tYD2+wHusZ6F9n5K+vl8k0sTy7PEfV4qpg==}
     engines: {node: '>=16.17'}
 
-  exsolve@1.0.7:
-    resolution: {integrity: sha512-VO5fQUzZtI6C+vx4w/4BWJpg3s/5l+6pRQEHzFRM8WFi4XffSP1Z+4qi7GbjWbvRQEbdIco5mIMq+zX4rPuLrw==}
-
   fast-deep-equal@3.1.3:
     resolution: {integrity: sha512-f3qQ9oQy9j2AhBe/H9VC91wLmKBCCU/gDOnKNAYG5hswO7BLKj09Hc5HYNz9cGI++xlpDCIgDaitVs03ATR84Q==}
 
@@ -1990,10 +1981,6 @@ packages:
     resolution: {integrity: sha512-OkToC372DtlQeje9/zHIo5CT8lRP/FUgEOKBEhU4e0abL7J7CD24fD9ohiLN5hagG/kWCYj4K5oaxxtj2Z0Dig==}
     engines: {node: '>=18'}
 
-  globals@15.15.0:
-    resolution: {integrity: sha512-7ACyT3wmyp3I61S4fG682L0VA2RGD9otkqGJIwNUMF1SWUombIIk+af1unuDYgMm082aHYwD+mzJvv9Iu8dsgg==}
-    engines: {node: '>=18'}
-
   graceful-fs@4.2.11:
     resolution: {integrity: sha512-RbJ5/jmFcNNCcDV5o9eTnBLJ/HszWV0P73bc+Ff4nS/rJj+YaS6IGyiOL0VoBYX+l1Wrl3k63h/KrH+nhJ0XvQ==}
 
@@ -2141,8 +2128,8 @@ packages:
   jsonc-parser@3.3.1:
     resolution: {integrity: sha512-HUgH65KyejrUFPvHFPbqOY0rsFip3Bo5wb4ngvdi1EpCYWUQDC5V+Y7mZws+DLkr4M//zQJoanu1SP+87Dv1oQ==}
 
-  katex@0.16.22:
-    resolution: {integrity: sha512-XCHRdUw4lf3SKBaJe4EvgqIuWwkPSo9XoeO8GjQW94Bp7TWv9hNhzZjZ+OH9yf1UmLygb7DIT5GSFQiyt16zYg==}
+  katex@0.16.27:
+    resolution: {integrity: sha512-aeQoDkuRWSqQN6nSvVCEFvfXdqo1OQiCmmW1kc9xSdjutPv7BGO7pqY9sQRJpMOGrEdfDgF2TfRXe5eUAD2Waw==}
     hasBin: true
 
   keyv@4.5.4:
@@ -2155,9 +2142,6 @@ packages:
     resolution: {integrity: sha512-eTIzlVOSUR+JxdDFepEYcBMtZ9Qqdef+rnzWdRZuMbOywu5tO2w2N7rqjoANZ5k9vywhL6Br1VRjUIgTQx4E8w==}
     engines: {node: '>=6'}
 
-  kolorist@1.8.0:
-    resolution: {integrity: sha512-Y+60/zizpJ3HRH8DCss+q95yr6145JXZo46OTpFvDZWLfRCE4qChOyk1b26nMaNpfHHgxagk9dXT5OP0Tfe+dQ==}
-
   langium@3.3.1:
     resolution: {integrity: sha512-QJv/h939gDpvT+9SiLVlY7tZC3xB2qK57v0J04Sh9wpMb6MP1q8gB21L3WIo8T5P1MSMg3Ep14L7KkDCFG3y4w==}
     engines: {node: '>=16.0.0'}
@@ -2179,10 +2163,6 @@ packages:
     resolution: {integrity: sha512-bbgPw/wmroJsil/GgL4qjDzs5YLTBMQ99weRsok1XCDccQeehbHA/I1oRvk2NPtr7KGZgT/Y5tPRnAtMqeG2Kg==}
     engines: {node: '>=14'}
 
-  local-pkg@1.1.2:
-    resolution: {integrity: sha512-arhlxbFRmoQHl33a0Zkle/YWlmNwoyt6QNZEIJcqNbdrsix5Lvc4HyyI3EnwxTYlZYc32EbYrQ8SzEZ7dqgg9A==}
-    engines: {node: '>=14'}
-
   locate-path@5.0.0:
     resolution: {integrity: sha512-t7hw9pI+WvuwNJXwk5zVHpyhIqzg2qTlklJOf0mVxGSbe3Fp2VieZcduNYjaLDoy6p9uGpQEGWG87WpMKlNq8g==}
     engines: {node: '>=8'}
@@ -2215,8 +2195,8 @@ packages:
   markdown-table@3.0.4:
     resolution: {integrity: sha512-wiYz4+JrLyb/DqW2hkFJxP7Vd7JuTDm77fvbM8VfEQdmSMqcImWeeRbHwZjBjIFki/VaMK2BhFi7oUUZeM5bqw==}
 
-  marked@16.3.0:
-    resolution: {integrity: sha512-K3UxuKu6l6bmA5FUwYho8CfJBlsUWAooKtdGgMcERSpF7gcBUrCGsLH7wDaaNOzwq18JzSUDyoEb/YsrqMac3w==}
+  marked@16.4.2:
+    resolution: {integrity: sha512-TI3V8YYWvkVf3KJe1dRkpnjs68JUPyEa5vjKrp1XEEJUAOaQc+Qj+L1qWbPd0SJuAdQkFU0h73sXXqwDYxsiDA==}
     engines: {node: '>= 20'}
     hasBin: true
 
@@ -2263,8 +2243,8 @@ packages:
     resolution: {integrity: sha512-8q7VEgMJW4J8tcfVPy8g09NcQwZdbwFEqhe/WZkoIzjn/3TGDwtOCYtXGxA3O8tPzpczCCDgv+P2P5y00ZJOOg==}
     engines: {node: '>= 8'}
 
-  mermaid@11.12.0:
-    resolution: {integrity: sha512-ZudVx73BwrMJfCFmSSJT84y6u5brEoV8DOItdHomNLz32uBjNrelm7mg95X7g+C6UoQH/W6mBLGDEDv73JdxBg==}
+  mermaid@11.12.2:
+    resolution: {integrity: sha512-n34QPDPEKmaeCG4WDMGy0OT6PSyxKCfy2pJgShP+Qow2KLrvWjclwbc3yXfSIf4BanqWEhQEpngWwNp/XhZt6w==}
 
   micromark-core-commonmark@2.0.2:
     resolution: {integrity: sha512-FKjQKbxd1cibWMM1P9N+H8TwlgGgSkWZMmfuVucLCHaYqeSvJ0hFeHsIa65pA2nYbes0f8LDHPMrd9X7Ujxg9w==}
@@ -2477,8 +2457,8 @@ packages:
   package-manager-detector@0.2.8:
     resolution: {integrity: sha512-ts9KSdroZisdvKMWVAVCXiKqnqNfXz4+IbrBG8/BWx/TR5le+jfenvoBuIZ6UWM9nz47W7AbD9qYfAwfWMIwzA==}
 
-  package-manager-detector@1.3.0:
-    resolution: {integrity: sha512-ZsEbbZORsyHuO00lY1kV3/t72yp6Ysay6Pd17ZAlNGuGwmWDLCJxFpRs0IzfXfj1o4icJOkUEioexFHzyPurSQ==}
+  package-manager-detector@1.6.0:
+    resolution: {integrity: sha512-61A5ThoTiDG/C8s8UMZwSorAGwMJ0ERVGj2OjoW5pAalsNOg15+iQiPzrLJ4jhZ1HJzmC2PIHT2oEiH3R5fzNA==}
 
   parent-module@1.0.1:
     resolution: {integrity: sha512-GQ2EWRpQV8/o+Aw8YqtfZZPfNRWZYkbidE9k5rpl/hC3vtHHBfGm2Ifi6qWV+coDGkrUKZAxE3Lot5kcsRlh+g==}
@@ -2540,9 +2520,6 @@ packages:
   pkg-types@1.3.1:
     resolution: {integrity: sha512-/Jm5M4RvtBFVkKWRu2BLUTNP8/M2a+UwuAX+ae4770q1qVGtfjG+WTCupoZixokjmHiry8uI+dlY8KXYV5HVVQ==}
 
-  pkg-types@2.3.0:
-    resolution: {integrity: sha512-SIqCzDRg0s9npO5XQ3tNZioRY1uK06lA41ynBC1YmFTmnY6FjUjVt6s4LoADmwoig1qqD0oK8h1p/8mlMx8Oig==}
-
   pluralize@8.0.0:
     resolution: {integrity: sha512-Nc3IT5yHzflTfbjgqWcCPpo7DaKy4FnpB0l/zCAW0Tc7jxAiuqSxHasntB3D7887LSrA93kDJ9IXovxJYxyLCA==}
     engines: {node: '>=4'}
@@ -2588,9 +2565,6 @@ packages:
     resolution: {integrity: sha512-vYt7UD1U9Wg6138shLtLOvdAu+8DsC/ilFtEVHcH+wydcSpNE20AfSOduf6MkRFahL5FY7X1oU7nKVZFtfq8Fg==}
     engines: {node: '>=6'}
 
-  quansync@0.2.11:
-    resolution: {integrity: sha512-AifT7QEbW9Nri4tAwR5M/uzpBuqfZf+zwaEM/QkzEjj7NBuFD2rBuy0K3dE+8wltbezDV7JMA0WfnCPYRSYbXA==}
-
   queue-microtask@1.2.3:
     resolution: {integrity: sha512-NuaNSa6flKT5JaSYQzJok04JzTL1CA6aGhv5rfLW3PgqA+M2ChpZQnAC8h8i4ZFkBS8X5RqkDBHA7r4hej3K9A==}
 
@@ -2812,8 +2786,9 @@ packages:
   tinyexec@0.3.2:
     resolution: {integrity: sha512-KQQR9yN7R5+OSwaK0XQoj22pwHoTlgYqmUscPYoknOoWCWfj/5/ABTMRi69FrKU5ffPVh5QcFikpWJI/P1ocHA==}
 
-  tinyexec@1.0.1:
-    resolution: {integrity: sha512-5uC6DDlmeqiOwCPmK9jMSdOuZTh8bU39Ys6yidB+UTt5hfZUPGAypSgFRiEp+jbi9qH40BLDvy85jIU88wKSqw==}
+  tinyexec@1.0.2:
+    resolution: {integrity: sha512-W/KYk+NFhkmsYpuHq5JykngiOCnxeVL8v8dFnqxSD8qEEdRfXk1SDM6JzNqcERbcGYj9tMrDQBYV9cjgnunFIg==}
+    engines: {node: '>=18'}
 
   tinyglobby@0.2.10:
     resolution: {integrity: sha512-Zc+8eJlFMvgatPZTl6A9L/yht8QqdmUNtURHaKZLmKBE12hNPSrqNkUp2cs3M/UKmNVVAMFQYSjYIVHDjW5zew==}
@@ -3303,13 +3278,11 @@ snapshots:
 
   '@antfu/install-pkg@1.1.0':
     dependencies:
-      package-manager-detector: 1.3.0
-      tinyexec: 1.0.1
+      package-manager-detector: 1.6.0
+      tinyexec: 1.0.2
 
   '@antfu/utils@0.7.10': {}
 
-  '@antfu/utils@9.2.1': {}
-
   '@babel/code-frame@7.26.2':
     dependencies:
       '@babel/helper-validator-identifier': 7.25.9
@@ -3646,18 +3619,11 @@ snapshots:
 
   '@iconify/types@2.0.0': {}
 
-  '@iconify/utils@3.0.2':
+  '@iconify/utils@3.1.0':
     dependencies:
       '@antfu/install-pkg': 1.1.0
-      '@antfu/utils': 9.2.1
       '@iconify/types': 2.0.0
-      debug: 4.4.3
-      globals: 15.15.0
-      kolorist: 1.8.0
-      local-pkg: 1.1.2
       mlly: 1.8.0
-    transitivePeerDependencies:
-      - supports-color
 
   '@iconify/vue@4.3.0(vue@3.5.13(typescript@5.7.3))':
     dependencies:
@@ -3677,7 +3643,7 @@ snapshots:
       non-layered-tidy-tree-layout: 2.0.2
     optional: true
 
-  '@mermaid-js/parser@0.6.2':
+  '@mermaid-js/parser@0.6.3':
     dependencies:
       langium: 3.3.1
 
@@ -4410,8 +4376,6 @@ snapshots:
 
   confbox@0.1.8: {}
 
-  confbox@0.2.2: {}
-
   consola@3.4.0: {}
 
   copy-anything@3.0.5:
@@ -4619,14 +4583,14 @@ snapshots:
       d3-transition: 3.0.1(d3-selection@3.0.0)
       d3-zoom: 3.0.0
 
-  dagre-d3-es@7.0.11:
+  dagre-d3-es@7.0.13:
     dependencies:
       d3: 7.9.0
       lodash-es: 4.17.21
 
   dayjs@1.11.13: {}
 
-  dayjs@1.11.18: {}
+  dayjs@1.11.19: {}
 
   debug@3.2.7:
     dependencies:
@@ -4664,7 +4628,7 @@ snapshots:
     dependencies:
       esutils: 2.0.3
 
-  dompurify@3.2.7:
+  dompurify@3.3.0:
     optionalDependencies:
       '@types/trusted-types': 2.0.7
 
@@ -5070,8 +5034,6 @@ snapshots:
       signal-exit: 4.1.0
       strip-final-newline: 3.0.0
 
-  exsolve@1.0.7: {}
-
   fast-deep-equal@3.1.3: {}
 
   fast-diff@1.3.0: {}
@@ -5171,8 +5133,6 @@ snapshots:
 
   globals@15.14.0: {}
 
-  globals@15.15.0: {}
-
   graceful-fs@4.2.11: {}
 
   graphemer@1.4.0: {}
@@ -5291,7 +5251,7 @@ snapshots:
 
   jsonc-parser@3.3.1: {}
 
-  katex@0.16.22:
+  katex@0.16.27:
     dependencies:
       commander: 8.3.0
 
@@ -5303,8 +5263,6 @@ snapshots:
 
   kleur@3.0.3: {}
 
-  kolorist@1.8.0: {}
-
   langium@3.3.1:
     dependencies:
       chevrotain: 11.0.3
@@ -5329,12 +5287,6 @@ snapshots:
       mlly: 1.7.4
       pkg-types: 1.3.1
 
-  local-pkg@1.1.2:
-    dependencies:
-      mlly: 1.8.0
-      pkg-types: 2.3.0
-      quansync: 0.2.11
-
   locate-path@5.0.0:
     dependencies:
       p-locate: 4.1.0
@@ -5361,7 +5313,7 @@ snapshots:
 
   markdown-table@3.0.4: {}
 
-  marked@16.3.0: {}
+  marked@16.4.2: {}
 
   mdast-util-find-and-replace@3.0.2:
     dependencies:
@@ -5481,30 +5433,28 @@ snapshots:
 
   merge2@1.4.1: {}
 
-  mermaid@11.12.0:
+  mermaid@11.12.2:
     dependencies:
       '@braintree/sanitize-url': 7.1.1
-      '@iconify/utils': 3.0.2
-      '@mermaid-js/parser': 0.6.2
+      '@iconify/utils': 3.1.0
+      '@mermaid-js/parser': 0.6.3
       '@types/d3': 7.4.3
       cytoscape: 3.33.1
       cytoscape-cose-bilkent: 4.1.0(cytoscape@3.33.1)
       cytoscape-fcose: 2.2.0(cytoscape@3.33.1)
       d3: 7.9.0
       d3-sankey: 0.12.3
-      dagre-d3-es: 7.0.11
-      dayjs: 1.11.18
-      dompurify: 3.2.7
-      katex: 0.16.22
+      dagre-d3-es: 7.0.13
+      dayjs: 1.11.19
+      dompurify: 3.3.0
+      katex: 0.16.27
       khroma: 2.1.0
       lodash-es: 4.17.21
-      marked: 16.3.0
+      marked: 16.4.2
       roughjs: 4.6.6
       stylis: 4.3.6
       ts-dedent: 2.2.0
       uuid: 11.1.0
-    transitivePeerDependencies:
-      - supports-color
 
   micromark-core-commonmark@2.0.2:
     dependencies:
@@ -5831,7 +5781,7 @@ snapshots:
 
   package-manager-detector@0.2.8: {}
 
-  package-manager-detector@1.3.0: {}
+  package-manager-detector@1.6.0: {}
 
   parent-module@1.0.1:
     dependencies:
@@ -5881,12 +5831,6 @@ snapshots:
       mlly: 1.7.4
       pathe: 2.0.2
 
-  pkg-types@2.3.0:
-    dependencies:
-      confbox: 0.2.2
-      exsolve: 1.0.7
-      pathe: 2.0.3
-
   pluralize@8.0.0: {}
 
   points-on-curve@0.2.0: {}
@@ -5926,8 +5870,6 @@ snapshots:
 
   punycode@2.3.1: {}
 
-  quansync@0.2.11: {}
-
   queue-microtask@1.2.3: {}
 
   rc9@2.1.2:
@@ -6174,7 +6116,7 @@ snapshots:
 
   tinyexec@0.3.2: {}
 
-  tinyexec@1.0.1: {}
+  tinyexec@1.0.2: {}
 
   tinyglobby@0.2.10:
     dependencies:
@@ -6300,9 +6242,9 @@ snapshots:
       jiti: 2.4.2
       yaml: 2.7.0
 
-  vitepress-plugin-mermaid@2.0.17(mermaid@11.12.0)(vitepress@1.6.3(@algolia/client-search@5.19.0)(@types/node@22.10.7)(postcss@8.5.1)(search-insights@2.17.3)(typescript@5.7.3)):
+  vitepress-plugin-mermaid@2.0.17(mermaid@11.12.2)(vitepress@1.6.3(@algolia/client-search@5.19.0)(@types/node@22.10.7)(postcss@8.5.1)(search-insights@2.17.3)(typescript@5.7.3)):
     dependencies:
-      mermaid: 11.12.0
+      mermaid: 11.12.2
       vitepress: 1.6.3(@algolia/client-search@5.19.0)(@types/node@22.10.7)(postcss@8.5.1)(search-insights@2.17.3)(typescript@5.7.3)
     optionalDependencies:
       '@mermaid-js/mermaid-mindmap': 9.3.0