move web-search into agent-runtime #3963

Job	Run time
build-and-check	2m 23s
test-integration-.agents	34s
test-integration-backend	29s
test-integration-common	37s
test-backend	39s
test-.agents	29s
test-integration-web	34s
test-npm-app	32s
test-integration-cli	28s
test-integration-packages/agent-runtime	30s
test-cli	28s
test-common	35s
test-packages/agent-runtime	35s
test-integration-npm-app	33s
test-web	29s
	9m 55s

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