build: update analyze-dependents base branch to next

[adamstankiewicz]

Description

The GitHub Action workflow file that operates on a cron is still trying to create PRs against master and subsequently hanging on the required Netlify deploy preview step that's no longer running for master branch since the release branches were modified.

This PR updates the base branch for the PR generated by the analyze-dependents.yml GitHub Action workflow to be next so the primary docs site is updated.

I'm also removing Prospectus (a private repo for edX.org) from the dependents list.

Deploy Preview

Include a direct link to your changes in this PR's deploy preview here (e.g., a specific component page).

Merge Checklist

• If your update includes visual changes, have they been reviewed by a designer? Send them a link to the Netlify deploy preview, if applicable.
• Does your change adhere to the documented style conventions?
• Do any prop types have missing descriptions in the Props API tables in the documentation site (check deploy preview)?
• Were your changes tested using all available themes (see theme switcher in the header of the deploy preview, under the "Settings" icon)?
• Were your changes tested in the example app?
• Is there adequate test coverage for your changes?
• Consider whether this change needs to reviewed/QA'ed for accessibility (a11y). If so, please request an a11y review for the PR in the #wg-paragon Open edX Slack channel.

Post-merge Checklist

• Verify your changes were released to NPM at the expected version.
• If you'd like, share your contribution in #show-and-tell.
• 🎉 🙌 Celebrate! Thanks for your contribution.

[netlify]

✅ Deploy Preview for paragon-openedx-v23 ready!

Name	Link
🔨 Latest commit	ed0233a
🔍 Latest deploy log	https://app.netlify.com/sites/paragon-openedx-v23/deploys/6762eb724d44e1000867f54b
😎 Deploy Preview	https://deploy-preview-3372--paragon-openedx-v23.netlify.app
📱 Preview on mobile	Toggle QR Code... Use your smartphone camera to open QR code link.

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[brian-smith-tcril]

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 93.87%. Comparing base (92c43c3) to head (ed0233a).
Report is 2 commits behind head on release-23.x.

Additional details and impacted files

@@              Coverage Diff              @@
##           release-23.x    #3372   +/-   ##
=============================================
  Coverage         93.87%   93.87%           
=============================================
  Files               232      232           
  Lines              3937     3937           
  Branches            902      933   +31     
=============================================
  Hits               3696     3696           
  Misses              237      237           
  Partials              4        4           

☔ View full report in Codecov by Sentry.
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[openedx-semantic-release-bot]

🎉 This PR is included in version 23.1.1 🎉

The release is available on:

• npm package (@latest dist-tag)
• GitHub release

Your semantic-release bot 📦🚀