Remove mode restriction e2e test #5931

Job	Run time
build-and-check	3m 0s
test-integration-packages/internal	1m 8s
test-integration-packages/billing	1m 5s
test-integration-packages/agent-runtime	41s
test-integration-sdk	1m 18s
test-integration-cli	42s
test-integration-common	43s
test-.agents	41s
test-packages/agent-runtime	45s
test-packages/billing	42s
test-common	41s
test-integration-web	36s
test-web	55s
test-cli	57s
test-sdk	47s
test-packages/internal	53s
	15m 34s

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