Strip notebook output and switch to testing notebooks with docs

[kratman]

Description

Changes:

• Strips notebook output for easier review. Pre-commit will remove notebook output so that review are easier and unmodified notebooks will not show up as changes in PRs.
• Switches from nbmake and nbsphinx to myst_nb
• Runs notebooks in documentation instead of in the example notebooks job

Breaking changes:

• myst_nb is not compatible with the prolog message used for Google Colab links in the notebooks. I think we should probably just remove the Google Colab parts, but that is not done here.

Key checklist:

• No style issues: $ pre-commit run (or $ nox -s pre-commit) (see CONTRIBUTING.md for how to set this up to run automatically when committing locally, in just two lines of code)
• All tests pass: $ python -m pytest (or $ nox -s tests)
• The documentation builds: $ python -m pytest --doctest-plus src (or $ nox -s doctests)

You can run integration tests, unit tests, and doctests together at once, using $ nox -s quick.

Further checks:

• Code is commented, particularly in hard-to-understand areas
• Tests added that prove fix is effective or that feature works

[review-notebook-app]

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 98.70%. Comparing base (f3e9c83) to head (416f7c2).
Report is 1 commits behind head on develop.

Additional details and impacted files

@@           Coverage Diff            @@
##           develop    #4820   +/-   ##
========================================
  Coverage    98.70%   98.70%           
========================================
  Files          303      303           
  Lines        23312    23312           
========================================
  Hits         23009    23009           
  Misses         303      303           

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[kratman]

The hold-up on this one is a timeout in the read-the-docs build from running all the notebooks. I have a workaround for it, but have not pushed it yet