Bump pymatgen-analysis-defects from 2024.7.19 to 2024.10.22 (#1024)

Bumps [pymatgen-analysis-defects](https://github.com/materialsproject/pymatgen-analysis-defects) from 2024.7.19 to 2024.10.22.
- [Release notes](https://github.com/materialsproject/pymatgen-analysis-defects/releases)
- [Commits](materialsproject/pymatgen-analysis-defects@v2024.7.19...v2024.10.22)

---
updated-dependencies:
- dependency-name: pymatgen-analysis-defects
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

Author: dependabot[bot]

pyproject.toml

@@ -111,7 +111,7 @@ strict = [
     "phonopy==2.27.0",
     "pydantic-settings==2.6.1",
     "pydantic==2.9.2",
-    "pymatgen-analysis-defects==2024.7.19",
+    "pymatgen-analysis-defects==2024.10.22",
     "pymatgen==2024.11.13",
     "python-ulid==3.0.0",
     "seekpath==2.1.0",