Add Bluetooth Proxy tests

.github/workflows/validate_esphome.yml

@@ -128,7 +128,7 @@ jobs:
           yaml_file: ${{ matrix.yaml_file }}
 
   build_advanced:
-    name: Build Advanced Configurations
+    name: Build Advanced
     needs: build_cores
     runs-on: ubuntu-latest
     strategy:
@@ -150,6 +150,27 @@ jobs:
         with:
           yaml_file: ${{ matrix.yaml_file }}
 
+  build_bluetooth_proxy:
+    name: Build Bluetooth Proxy
+    needs: build_cores
+    runs-on: ubuntu-latest
+    strategy:
+      matrix:
+        include:
+          - id: idf
+            yaml_file: ".test/esphome_idf_bluetooth_proxy.yaml"
+          - id: idf5
+            yaml_file: ".test/esphome_idf5_bluetooth_proxy.yaml"
+
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@main
+
+      - name: Build Bluetooth Proxy Firmware
+        uses: barndawgie/build-action@v1.9.0
+        with:
+          yaml_file: ${{ matrix.yaml_file }}
+
   build_prebuilt_firmware:
     name: Prebuilt Firmware
     runs-on: ubuntu-latest