Bump codecov/codecov-action from 4 to 5 (#97)

* Bump codecov/codecov-action from 4 to 5

Bumps [codecov/codecov-action](https://github.com/codecov/codecov-action) from 4 to 5.
- [Release notes](https://github.com/codecov/codecov-action/releases)
- [Changelog](https://github.com/codecov/codecov-action/blob/main/CHANGELOG.md)
- [Commits](codecov/codecov-action@v4...v5)

---
updated-dependencies:
- dependency-name: codecov/codecov-action
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <[email protected]>

* Try to fix docs build

---------

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

.github/workflows/ci.yml

@@ -81,13 +81,16 @@ jobs:
       - uses: julia-actions/julia-runtest@v1
 
       - uses: julia-actions/julia-processcoverage@v1
-      - uses: codecov/codecov-action@v4
+      - uses: codecov/codecov-action@v5
         with:
           files: lcov.info
 
   docs:
     name: Documentation
     runs-on: ubuntu-latest
+    permissions:
+      contents: write
+      statuses: write
     steps:
       - name: Install libraries
         run: |
@@ -99,6 +102,10 @@ jobs:
         with:
           version: '1.11'
 
+      - uses: julia-actions/cache@v2
+        with:
+          cache-registries: "true"
+
       - name: Add MPIPreferences + Preferences + UUIDs
         shell: julia --color=yes --project=. {0}
         run: |