[CI] [GHA] [WIN] Separately build contrib, use Python 3.11 as the default one after building additional wheels (#29273)

### Tickets:
 - *163282*
 - *163283*

Author: akashchi

.github/workflows/job_build_windows.yml

@@ -264,6 +264,15 @@ jobs:
           }
           Compress-Archive @compress
 
+      # Setup Python 3.11 as the default one
+      - name: Setup Python ${{ env.PYTHON_VERSION }}
+        uses: ./openvino/.github/actions/setup_python
+        with:
+          version: ${{ env.PYTHON_VERSION }}
+          pip-cache-path: ${{ env.PIP_CACHE_PATH }}
+          should-setup-pip-paths: 'true'
+          self-hosted-runner: 'true'
+
       - name: CMake configure, build and install - OpenVINO JS API
         if: ${{ fromJSON(inputs.affected-components).JS_API }}
         run: |
@@ -285,6 +294,13 @@ jobs:
           }
           Compress-Archive @compress
 
+      - name: Cmake & Build - OpenVINO Contrib
+        run: |
+          cmake -DCUSTOM_OPERATIONS="calculate_grid;complex_mul;fft;grid_sample;sparse_conv;sparse_conv_transpose" -S ${{ env.OPENVINO_REPO }} -B ${{ env.BUILD_DIR }} `
+                -DOPENVINO_EXTRA_MODULES="${{ env.OPENVINO_CONTRIB_REPO }}/modules/custom_operations;${{ env.OPENVINO_CONTRIB_REPO }}/modules/java_api" `
+                -DENABLE_WHEEL=OFF
+          cmake --build ${{ env.BUILD_DIR }} --parallel $ENV:NUMBER_OF_PROCESSORS
+
       #
       # Upload build artifacts and logs
       #

.github/workflows/windows_vs2022_debug.yml

@@ -65,9 +65,7 @@ jobs:
         -DENABLE_TESTS=ON `
         -DCMAKE_COMPILE_WARNING_AS_ERROR=ON `
         -DENABLE_STRICT_DEPENDENCIES=OFF `
-        -DCMAKE_DISABLE_FIND_PACKAGE_PkgConfig=ON `
-        -DCUSTOM_OPERATIONS="calculate_grid;complex_mul;fft;grid_sample;sparse_conv;sparse_conv_transpose" `
-        -DOPENVINO_EXTRA_MODULES="${env:OPENVINO_CONTRIB_REPO }}/modules/custom_operations;${env:OPENVINO_CONTRIB_REPO}/modules/java_api"
+        -DCMAKE_DISABLE_FIND_PACKAGE_PkgConfig=ON
 
   CXX_Unit_Tests:
     name: C++ unit tests

.github/workflows/windows_vs2022_release.yml

@@ -69,9 +69,7 @@ jobs:
             -DENABLE_TESTS=ON `
             -DCMAKE_COMPILE_WARNING_AS_ERROR=ON `
             -DENABLE_STRICT_DEPENDENCIES=OFF `
-            -DCMAKE_DISABLE_FIND_PACKAGE_PkgConfig=ON `
-            -DCUSTOM_OPERATIONS="calculate_grid;complex_mul;fft;grid_sample;sparse_conv;sparse_conv_transpose" `
-            -DOPENVINO_EXTRA_MODULES="${env:OPENVINO_CONTRIB_REPO}/modules/custom_operations;${env:OPENVINO_CONTRIB_REPO}/modules/java_api"
+            -DCMAKE_DISABLE_FIND_PACKAGE_PkgConfig=ON
 
   Samples:
     needs: [ Build, Smart_CI ]