[CI] Try classic PAT in release.yaml

[alyssadai]

• Closes #

Changes proposed in this pull request:

Checklist

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• PR has an interpretable title with a prefix ([ENH], [FIX], [REF], [TST], [CI], [MNT], [INF], [MODEL], [DOC]) (see our Contributing Guidelines for more info)
• PR has a label for the release changelog or skip-release (to be applied by maintainers only)
• PR links to GitHub issue with mention Closes #XXXX
• Tests pass
• Checks pass

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• Tests have been added

For bug fixes:

• There is at least one test that would fail under the original bug conditions.

[coveralls]

Pull Request Test Coverage Report for Build 10014039106

Details

• 0 of 0 changed or added relevant lines in 0 files are covered.
• No unchanged relevant lines lost coverage.
• Overall coverage remained the same at 97.989%

---

Totals
Change from base Build 10013835485:	0.0%
Covered Lines:	731
Relevant Lines:	746

---

💛 - Coveralls

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 97.98%. Comparing base (337a7ce) to head (a5db965).

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #324   +/-   ##
=======================================
  Coverage   97.98%   97.98%           
=======================================
  Files          13       13           
  Lines         746      746           
=======================================
  Hits          731      731           
  Misses         15       15           

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