Changelog entry for v0.13.0

[seisman]

Description of proposed changes

This PR adds the changelog entry for v0.13.0.

• Release checklist: #3361
• Previous changelog PR: #3201
• Preview: https://pygmt-dev--3425.org.readthedocs.build/en/3425/changes.html

Checklist

• [x] Add a new entry in doc/_static/version_switch.js for documentation switcher
• [x] Add the version to the compatibility table doc/minversions.md
• [x] Update citation information CITATION.cff and BibTeX at https://github.com/GenericMappingTools/pygmt#citing-pygmt
  • [x] Update authorship list if necessary
  • [x] Update DOI (and URL for BibTeX)
  • [x] Update version
  • [x] Update date released
  • [x] Update the BibTeX key
• [x] Copy the draft release note from https://github.com/GenericMappingTools/pygmt/releases to doc/changes.md
• [x] Edit the changelog to look nice (see maintainers guide for details)
  • [x] Update the release date and the DOI badge in doc/changes.md
  • [x] Edit the list of people who contributed to the release, linking to their GitHub account. Sort their names by the number of commits made since the last release (e.g., use git shortlog HEAD...v0.1.2 -sne)
  • [x] Edit the change list to remove any trivial changes (updates to the README, typo fixes, CI configuration, etc)
  • [x] Update with any remaining PRs merged before release
  • [x] Add highlights

[seisman]

This PR is ready for final review. I plan to merge this PR and make the release in 12 hours (before midnight for UTC+8 time zone).