fix(ci): build all 4 images in Gitea CI (GRO-1522)

- Upgrade lint-typecheck, test, build jobs to Node 22
- Add explicit target: runner for API image (matches GH workflow)
- Add migrate, seed, reset images to Gitea docker job
- Per-image cache refs for Gitea registry (git.farh.net/groombook/cache:{service})

Fixes: missing migrate/seed/reset images in Gitea registry.
Related: The Dogfather review comment on PR #44.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

.gitea/workflows/ci.yml

@@ -58,10 +58,32 @@ jobs:
       - name: Run tests
         run: pnpm test
 
+  build:
+    name: Build
+    runs-on: ubuntu-latest
+    needs: [lint-typecheck, test]
+    steps:
+      - uses: actions/checkout@v4
+
+      - uses: pnpm/action-setup@v4
+        with:
+          version: '9.15.4'
+
+      - uses: actions/setup-node@v4
+        with:
+          node-version: 22
+          cache: pnpm
+
+      - name: Install dependencies
+        run: pnpm install --frozen-lockfile
+
+      - name: Build
+        run: pnpm build
+
   docker:
     name: Build & Push Docker Images
     runs-on: ubuntu-latest
-    needs: [lint-typecheck, test]
+    needs: [build]
     steps:
       - uses: actions/checkout@v4
 
@@ -84,7 +106,7 @@ jobs:
         with:
           registry: git.farh.net
           username: ${{ gitea.actor }}
-          password: ${{ secrets.REGISTRY_TOKEN }}
+          password: ${{ gitea.token }}
 
       - name: Build and push API image
         uses: docker/build-push-action@v6