[INLONG-2730][Sort] Reduce the number of AsyncProducerClient

[vernedeng]

Title Name: [INLONG-2730][Sort] Reduce the number of AsyncProducerClient

Fixes #2730

UT will be done in the last issue #2651

Motivation

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Modifications

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Verifying this change

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(Please pick either of the following options)

This change is a trivial rework / code cleanup without any test coverage.

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This change is already covered by existing tests, such as (please describe tests).

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This change added tests and can be verified as follows:

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• Added integration tests for end-to-end deployment with large payloads (10MB)
• Extended integration test for recovery after broker failure

Documentation

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