feat(web): add documentation testing and linting infrastructure #5436

Job	Run time
build-and-check	2m 37s
test-integration-packages/internal	47s
test-integration-.agents	39s
test-packages/agent-runtime	55s
test-.agents	38s
test-integration-sdk	48s
test-integration-cli	38s
test-packages/billing	48s
test-common	45s
test-integration-packages/agent-runtime	38s
test-integration-common	42s
test-integration-packages/billing	47s
test-integration-web	39s
test-cli	1m 13s
test-packages/internal	47s
test-web	51s
test-sdk	44s
	14m 56s

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