[CI] Add nightly merge workflow for gh-pages

[Andrews2024]

General:

This PR adds the nightly merge workflow to the CI pipeline to automatically merge changes to main into the gh-pages branch. This is to prevent documentation from becoming out of date and to avoid needing to manually merge changes.

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• Have you checked to ensure there aren't other open or closed Pull Requests for the same bug/feature/question?

Pull Request Guidelines:

1. Does your submission pass tests?
2. Are you addressing a single feature in this PR?
3. Are your commits atomic, addressing one change per commit?
4. Are you following the conventions of the language?
5. Have you saved your large formatting changes for a different PR, so we can focus on your work?
6. Have you explained your rationale for why this feature is needed?

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 72.98%. Comparing base (6d72edb) to head (5b6513f).
Report is 3 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #363      +/-   ##
==========================================
+ Coverage   72.95%   72.98%   +0.03%     
==========================================
  Files          14       14              
  Lines        2596     2599       +3     
==========================================
+ Hits         1894     1897       +3     
  Misses        537      537              
  Partials      165      165              

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