Matrix to run installs on Ubuntu

Author: stefanor

.github/workflows/build.yml

@@ -608,6 +608,36 @@ jobs:
         run: |
           "$BUILD_DIR/cross-python/bin/python3" -m test test_sysconfig test_site test_embed
 
+  linux-install-build:
+    name: >-
+      Ubuntu Install
+      ${{ fromJSON(matrix.free-threading) && '(free-threading)' || '' }}
+      ${{ fromJSON(matrix.debug) && '(debug)' || '' }}
+    needs: build-context
+    if: needs.build-context.outputs.run-ubuntu == 'true'
+    strategy:
+      fail-fast: false
+      matrix:
+        free-threading:
+          - false
+          - true
+        debug:
+          - false
+          - true
+        os:
+          - ubuntu-24.04
+        include:
+          - free-threading: false
+            debug: false
+            os: ubuntu-24.04-arm
+    uses: ./.github/workflows/reusable-ubuntu.yml
+    with:
+      debug: ${{ matrix.debug }}
+      free-threading: ${{ matrix.free-threading }}
+      os: ${{ matrix.os }}
+      test: false
+      upload-install: true
+
   cifuzz:
     # ${{ '' } is a hack to nest jobs under the same sidebar category.
     name: CIFuzz${{ '' }}  # zizmor: ignore[obfuscation]