[ci] Use uv for pip installs across CI workflows (#16451)

.github/workflows/ci-api-proto.yml

@@ -26,6 +26,12 @@ jobs:
         uses: actions/setup-python@a309ff8b426b58ec0e2a45f0f869d46889d02405 # v6.2.0
         with:
           python-version: "3.11"
+      - name: Set up uv
+        # ``--system`` (below) installs into the setup-python interpreter;
+        # no venv is created or restored by this workflow.
+        uses: astral-sh/setup-uv@08807647e7069bb48b6ef5acd8ec9567f424441b # v8.1.0
+        with:
+          enable-cache: true
 
       - name: Install apt dependencies
         run: |
@@ -34,7 +40,7 @@ jobs:
           sudo apt install -y protobuf-compiler
           protoc --version
       - name: Install python dependencies
-        run: pip install aioesphomeapi -c requirements.txt -r requirements_dev.txt
+        run: uv pip install --system aioesphomeapi -c requirements.txt -r requirements_dev.txt
       - name: Generate files
         run: script/api_protobuf/api_protobuf.py
       - name: Check for changes