chore: Move publishing logic to convention plugin

[mattcreaser]

• PR title and description conform to Pull Request guidelines.

Issue #, if available:

Description of changes:
Migrates logic from publishling.gradle into a convention plugin

How did you test these changes?

• Verified artifacts publish as normal

Documentation update required?

• No
• Yes (Please include a PR link for the documentation update)

General Checklist

• Added Unit Tests
• Added Integration Tests
• Security oriented best practices and standards are followed (e.g. using input sanitization, principle of least privilege, etc)
• Ensure commit message has the appropriate scope (e.g fix(storage): message, feat(auth): message, chore(all): message)

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 54.27%. Comparing base (7fce116) to head (385c9e1).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #3105      +/-   ##
==========================================
- Coverage   54.27%   54.27%   -0.01%     
==========================================
  Files        1040     1040              
  Lines       32071    32071              
  Branches     4712     4712              
==========================================
- Hits        17408    17407       -1     
+ Misses      12825    12823       -2     
- Partials     1838     1841       +3     

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