Add test harness to remove HOME variable

Author: kishaningithub

.github/workflows/test.yml

@@ -119,3 +119,40 @@ jobs:
 
           python --version 2>&1 | grep -F "3.11.5"
           test "$(python3 -m pip --version)" = "$(pip --version)"
+
+  test_python_install_without_home_directory:
+    runs-on: ubuntu-latest
+    container: amazonlinux:2
+    steps:
+      - name: Setup runner
+        run: |
+          yum install -y git sudo tar gzip which
+
+      - name: Checkout
+        run: |
+          git clone --depth 1 -b "${GITHUB_HEAD_REF:-$GITHUB_REF_NAME}" "https://github.com/${GITHUB_REPOSITORY}.git" .
+
+      - name: Remove $HOME
+        run: |
+          unset HOME
+
+      - name: Install python
+        uses: ./
+        with:
+          python-version: "3.11.5"
+
+      - name: Test installation
+        run: |
+          set -x
+
+          which python3
+          which python
+
+          python3 --version
+          python --version
+
+          python3 --version 2>&1 | grep -F "3.11.5"
+          test "$(python3 -m pip --version)" = "$(pip3 --version)"
+
+          python --version 2>&1 | grep -F "3.11.5"
+          test "$(python3 -m pip --version)" = "$(pip --version)"