chore: run new Miden project test in the separate CI job (space hog)

Author: greenhat

.github/workflows/ci.yml

@@ -197,8 +197,39 @@ jobs:
             cargo install cargo-make --force
           fi
       - name: Test
+        # Skip running the `new_project_integration_tests_pass` test since it
+        # is a disc space hog.
         run: |
-          cargo make test -E 'package(cargo-miden)'
+          cargo make test -E 'package(cargo-miden) - test(new_project_integration_tests_pass)'
+
+  cargo_miden_tests_mpt:
+    name: cargo-miden test Miden project template
+    runs-on: ubuntu-latest
+    # We only want to run the integration tests if the unit tests pass, and that has the added
+    # benefit that we can re-use the cache from the unit test job for all integration tests
+    needs: [unit_tests]
+    steps:
+      - uses: actions/checkout@v5
+      - name: Install Rust
+        run: |
+          rustup update --no-self-update
+          rustc --version
+      - name: Cache Cargo
+        uses: Swatinem/rust-cache@v2
+        with:
+          shared-key: ${{ github.workflow }}-shared-tests
+          prefix-key: ${{ env.RUST_CACHE_KEY }}
+          # Do not persist the cache, leave that to the unit tests, we just use the cache here
+          save-if: false
+      - name: Install cargo-make
+        run: |
+          if ! cargo make --version 2>/dev/null; then
+            cargo install cargo-make --force
+          fi
+      - name: Test
+        run: |
+          cargo make test -E 'test(new_project_integration_tests_pass)'
+
 
   miden_integration_node_tests:
     name: miden integration node tests