This is an automated cherry-pick of #57756

What problem does this PR solve?

Issue Number: close #57631

Problem Summary:

See more at #57631 (comment)

We need to support updating the stats of only a few tables within the update function. This will help reduce the function's duration after the table analysis is completed.

The analysis duration is stable:

mysql> analyze table sbtest111.sbtest2;
Query OK, 0 rows affected, 10 warnings (6.22 sec)

mysql> analyze table sbtest111.sbtest2;
Query OK, 0 rows affected, 10 warnings (6.74 sec)

mysql> analyze table sbtest111.sbtest2;
Query OK, 0 rows affected, 10 warnings (6.12 sec)

What changed and how does it work?

Check List

Tests

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

  • I checked and no code files have been changed.

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

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None