Replace `actions/gh-actions-cache` with `gh cache`

[bayandin]

Why:

actions/gh-actions-cache has been deprecated in favour of gh cache

Ref https://github.com/actions/gh-actions-cache/pull/86

Closes: #35030

What's being changed (if available, include any code snippets, screenshots, or gifs):

This PR replaces actions/gh-actions-cachewithgh cache

Check off the following:

• [ ] I have reviewed my changes in staging, available via the View deployment link in this PR's timeline (this link will be available after opening the PR).

  • For content changes, you will also see an automatically generated comment with links directly to pages you've modified. The comment won't appear if your PR only edits files in the data directory.

• [ ] For content changes, I have completed the self-review checklist.

[welcome[bot]]

Thanks for opening this pull request! A GitHub docs team member should be by to give feedback soon. In the meantime, please check out the contributing guidelines.

[github-actions[bot]]

Automatically generated comment ℹ️

This comment is automatically generated and will be overwritten every time changes are committed to this branch.

The table contains an overview of files in the content directory that have been changed in this pull request. It's provided to make it easy to review your changes on the staging site. Please note that changes to the data directory will not show up in this table.

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Content directory changes

You may find it useful to copy this table into the pull request summary. There you can edit it to share links to important articles or changes and to give a high-level overview of how the changes in your pull request support the overall goals of the pull request.

Source	Preview	Production	What Changed
actions/writing-workflows/choosing-what-your-workflow-does/caching-dependencies-to-speed-up-workflows.md	fpt ghec ghes@ 3.14 3.13 3.12 3.11 3.10	fpt ghec ghes@ 3.14 3.13 3.12 3.11 3.10

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fpt: Free, Pro, Team ghec: GitHub Enterprise Cloud ghes: GitHub Enterprise Server

[nguyenalex836]

@bayandin Thanks so much for opening a PR! I'll get this triaged for review ✨

[github-actions[bot]]

Thanks for opening a pull request! We've triaged this issue for technical review by a subject matter expert :eyes:

[nguyenalex836]

@bayandin Good news - our SME team has approved your changes! ✨ We are currently in a repo freeze, but we'll get this merged on November 1st when the freeze ends 🍏 Thank you for contributing to GitHub Docs!

If you're looking for another issue to pick up, take a look at our help wanted section to find open issues you can work on 💛

[nguyenalex836]

@bayandin I went ahead and committed the changes above 💛 Thank you so much for contributing to GitHub Docs!

If you're looking for another issue to pick up, take a look at our help wanted section to find open issues you can work on ✨

[github-actions[bot]]

Thanks very much for contributing! Your pull request has been merged 🎉 You should see your changes appear on the site in approximately 24 hours. If you're looking for your next contribution, check out our help wanted issues :zap:

[bayandin]

Ah, thank you @nguyenalex836 ❤️