[RS] Run maintenance after each sync (backport #7342)

[mergify]

Pull Request checklist

• Breaking changes: This PR follows our breaking change policy
  • This PR follows the breaking change policy:
    • This PR has no breaking API changes, or
    • There are corresponding PRs for our consumer applications that resolve the breaking changes and have been approved
• Quality: This PR builds and tests run cleanly
  • Note:
    • For changes that need extra cross-platform testing, consider adding [ci full] to the PR title.
    • If this pull request includes a breaking change, consider cutting a new release after merging.
• Tests: This PR includes thorough tests or an explanation of why it does not
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  • Any breaking changes to Swift or Kotlin binding APIs are noted explicitly
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  • Any new dependencies are accompanied by a summary of the due diligence applied in selecting them.

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This is an automatic backport of pull request #7342 done by [Mergify](https://mergify.com).

[mergify]

Cherry-pick of 903526a has failed:

On branch mergify/bp/release-v151/pr-7342
Your branch is up to date with 'origin/release-v151'.

You are currently cherry-picking commit 903526a2.
  (fix conflicts and run "git cherry-pick --continue")
  (use "git cherry-pick --skip" to skip this patch)
  (use "git cherry-pick --abort" to cancel the cherry-pick operation)

Changes to be committed:
	modified:   components/remote_settings/src/client.rs
	modified:   components/remote_settings/src/storage.rs

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   components/remote_settings/src/service.rs

To fix up this pull request, you can check it out locally. See documentation: https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/reviewing-changes-in-pull-requests/checking-out-pull-requests-locally