Handle more cases of adding to input history #5275

Job	Run time
build-and-check	2m 35s
test-integration-common	38s
test-common	37s
test-cli	1m 9s
test-packages/agent-runtime	50s
test-web	47s
test-packages/billing	35s
test-integration-packages/agent-runtime	44s
test-integration-cli	43s
test-.agents	39s
test-integration-packages/billing	39s
test-integration-packages/internal	38s
test-integration-sdk	44s
test-integration-.agents	43s
test-sdk	51s
test-packages/internal	45s
test-integration-web	45s
	14m 22s

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