We should not print logs after client is closed

[BewareMyPower]

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----------------------------------------------------------------------
Ran 11 tests in 6.153s

OK
2025-12-23 21:51:47.812 INFO  [0x20175f840] ProducerImpl:755 | Producer - [persistent://public/default/asyncio-test-close-producer, standalone-0-15] , [batchMessageContainer = { BatchMessageContainer [size = 0] [bytes = 0] [maxSize = 1000] [maxBytes = 131072] [topicName = persistent://public/default/asyncio-test-close-producer] [numberOfBatchesSent_ = 0] [averageBatchSize_ = 0] }]
2025-12-23 21:51:47.812 INFO  [0x20175f840] ProducerImpl:755 | Producer - [persistent://public/default/asyncio-test-send-failure, standalone-0-23] , [batchMessageContainer = { BatchMessageContainer [size = 0] [bytes = 0] [maxSize = 1000] [maxBytes = 131072] [topicName = persistent://public/default/asyncio-test-send-failure] [numberOfBatchesSent_ = 1] [averageBatchSize_ = 1] }]

Here are the outputs I saw when running tests in Python. The ProducerImpl instance was destroyed after the test exited, which should be dangerous