fix(cli): process queued messages one at a time #5463

Job	Run time
build-and-check	2m 26s
test-integration-.agents	46s
test-integration-common	47s
test-integration-cli	41s
test-integration-packages/agent-runtime	39s
test-integration-packages/billing	38s
test-integration-packages/internal	39s
test-.agents	39s
test-cli	1m 18s
test-integration-sdk	47s
test-common	42s
test-packages/agent-runtime	51s
test-packages/internal	45s
test-sdk	42s
test-integration-web	38s
test-web	52s
test-packages/billing	39s
	14m 29s

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