agents: Prevent file-lister from using read subtree again #5556

Job	Run time
build-and-check	2m 34s
test-integration-packages/billing	1m 3s
test-integration-packages/internal	1m 4s
test-integration-web	39s
test-integration-cli	46s
test-integration-common	47s
test-integration-packages/agent-runtime	38s
test-integration-sdk	47s
test-packages/agent-runtime	53s
test-packages/internal	46s
test-packages/billing	41s
test-cli	1m 8s
test-common	45s
test-sdk	44s
test-web	44s
test-.agents	41s
	14m 40s

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