binlog: update binlog status from Skippping to On when recover binlog (#32173)

[ti-chi-bot]

This is an automated cherry-pick of #32173

Signed-off-by: joccau zak.zhao@pingcap.com

What problem does this PR solve?

Issue Number: close #32172

Problem Summary: As title

What is changed and how it works?

It need to update binlog_status when recover binlog.

Check List

Tests

• Unit test
• Integration test
• Manual test (add detailed scripts or steps below)
• No code

Side effects

• Performance regression: Consumes more CPU
• Performance regression: Consumes more Memory
• Breaking backward compatibility

Documentation

• Affects user behaviors
• Contains syntax changes
• Contains variable changes
• Contains experimental features
• Changes MySQL compatibility

Release note

None

[ti-chi-bot]

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[ti-chi-bot]

@ti-chi-bot: This cherry pick PR is for a release branch and has not yet been approved by release team.
Adding the do-not-merge/cherry-pick-not-approved label.

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