build: Update the release workflow to use OIDC.

[arbrandes]

Also make other smaller updates to modernize the release file.

Following the pattern from openedx/frontend-platform#847

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 95.91%. Comparing base (5561b4c) to head (9681249).
⚠️ Report is 1 commits behind head on master.

Additional details and impacted files

@@           Coverage Diff           @@
##           master     #120   +/-   ##
=======================================
  Coverage   95.91%   95.91%           
=======================================
  Files          10       10           
  Lines         245      245           
  Branches       75       72    -3     
=======================================
  Hits          235      235           
  Misses          9        9           
  Partials        1        1           

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[openedx-semantic-release-bot]

🎉 This PR is included in version 1.8.0 🎉

The release is available on:

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

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