fix(tests): remove old playwright-runner.test.ts file #5625

Job	Run time
build-and-check	2m 52s
test-integration-packages/internal	1m 10s
test-integration-packages/billing	1m 1s
test-integration-packages/agent-runtime	47s
test-integration-cli	37s
test-integration-sdk	40s
test-integration-web	53s
test-common	40s
test-cli	56s
test-packages/billing	41s
test-integration-common	49s
test-.agents	38s
test-sdk	41s
test-packages/agent-runtime	44s
test-packages/internal	46s
test-web	1m 13s
	15m 8s

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