Backport to branch(3.13) : Use PostgreSQL in integration tests by default

[feeblefakie]

This is an automated request for a manual backport of the following:

• Original PR: Use PostgreSQL in integration tests by default #2894
• Commit to backport: 819ae90

1. Resolve any conflicts that occur during the cherry-picking process.

git fetch origin &&
git checkout 3.13-pull-2894 &&
git cherry-pick --no-rerere-autoupdate -m1 819ae90540417d49cd73976f6ba976ee94654290

2. Push the changes.
3. Merge this PR after all checks have passed.

Thank you!

[gemini-code-assist]

Note

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