dr-autosync: move state replicate to different goroutine (#6874)

[disksing]

What problem does this PR solve?

Issue Number: Fix #6883

What is changed and how does it work?

cherry-pick #6874

Check List

Tests

• Unit test

Release note

None.

[ti-chi-bot]

[REVIEW NOTIFICATION]

This pull request has been approved by:

• lhy1024
• nolouch

To complete the pull request process, please ask the reviewers in the list to review by filling /cc @reviewer in the comment.
After your PR has acquired the required number of LGTMs, you can assign this pull request to the committer in the list by filling /assign @committer in the comment to help you merge this pull request.

The full list of commands accepted by this bot can be found here.

Reviewer can indicate their review by submitting an approval review.
Reviewer can cancel approval by submitting a request changes review.

[codecov]

Codecov Report

Patch coverage: 45.00% and project coverage change: +0.08% 🎉

Comparison is base (2892b46) 75.54% compared to head (dc56b82) 75.62%.

Additional details and impacted files

@@               Coverage Diff               @@
##           release-6.5    #6705      +/-   ##
===============================================
+ Coverage        75.54%   75.62%   +0.08%     
===============================================
  Files              328      328              
  Lines            33168    33171       +3     
===============================================
+ Hits             25056    25087      +31     
+ Misses            5944     5931      -13     
+ Partials          2168     2153      -15     

Flag	Coverage Δ
unittests	75.62% <45.00%> (+0.08%)	⬆️

Flags with carried forward coverage won't be shown. Click here to find out more.

Files Changed	Coverage Δ
server/replication/replication_mode.go	75.57% <45.00%> (-3.38%)	⬇️

... and 24 files with indirect coverage changes

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

[disksing]

/merge

[ti-chi-bot]

@disksing: It seems you want to merge this PR, I will help you trigger all the tests:

/run-all-tests

You only need to trigger /merge once, and if the CI test fails, you just re-trigger the test that failed and the bot will merge the PR for you after the CI passes.

If you have any questions about the PR merge process, please refer to pr process.

Instructions for interacting with me using PR comments are available here. If you have questions or suggestions related to my behavior, please file an issue against the ti-community-infra/tichi repository.

[ti-chi-bot]

This pull request has been accepted and is ready to merge.

Commit hash: dc56b82