chore(ci): remove unnecessary action step, bump doc build to 3.12

.github/workflows/ci.yml

@@ -200,9 +200,6 @@ jobs:
       with:
         persist-credentials: false
 
-    - uses: actions/setup-python@a309ff8b426b58ec0e2a45f0f869d46889d02405 # v6.2.0
-      with:
-        python-version: "3.12"
     - uses: pre-commit/action@2c7b3805fd2a0fd8c1884dcaebf91fc102a13ecd # v3.0.1
 
   docs-check:
@@ -220,11 +217,17 @@ jobs:
     - name: Set up Python
       uses: actions/setup-python@a309ff8b426b58ec0e2a45f0f869d46889d02405 # v6.2.0
       with:
-        python-version: "3.12"
+        python-version: "3.13"
+
+    - name: Install uv
+      uses: astral-sh/setup-uv@5a095e7a2014a4212f075830d4f7277575a9d098 # v7.3.1
+      with:
+        activate-environment: true
+        python-version: "3.13"
 
     - name: Documentation build
       run: |
-        pip install -r docs/requirements-docs.txt
+        uv pip install -r docs/requirements-docs.txt
         mkdocs build
 
     - name: Discord notification