Complete action runtime rewrite

.github/workflows/test.yml

@@ -20,5 +20,26 @@ jobs:
       - name: Install dependencies
         run: make deps
 
-      - name: Run tests
+      - name: Run unit tests
         run: .venv/bin/python -m pytest tests/ -v --ignore=tests/e2e
+
+  e2e:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Set up Python 3.13
+        uses: actions/setup-python@v5
+        with:
+          python-version: "3.13"
+
+      - name: Install dependencies
+        run: make deps
+
+      - name: Verify Docker
+        run: docker version
+
+      - name: Run Docker-backed e2e tests
+        env:
+          FLOW_RUN_E2E: "1"
+        run: .venv/bin/python -m pytest tests/e2e/ -v