Fix query_id in part_log with async flush queries

[Algunenano]

Changelog category (leave one):

• Bug Fix (user-visible misbehavior in an official stable release)

Changelog entry (a user-readable short description of the changes that goes to CHANGELOG.md):

• Fix query_id in part_log with async flush queries

Documentation entry for user-facing changes

Ref #51160 (comment)

[robot-ch-test-poll4]

This is an automated comment for commit 232b2c0 with description of existing statuses. It's updated for the latest CI running
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[CurtizJ]

Test test_zookeeper_config is flaky

[CurtizJ]

Test test_profile_max_sessions_for_user is more suspicious but also seems to be flaky