cicd: build auth using actions

.forgejo/workflows/build-and-deploy.yml

@@ -20,9 +20,9 @@ jobs:
           go-version: '^1.25'
           check-latest: false
           cache-dependency-path: |
-            modules/backend/go.sum
+            go.sum
       
-      - name: Build Go app
+      - name: Build backend
         run: |
           cd modules/backend
           go mod tidy
@@ -35,6 +35,19 @@ jobs:
           name: nyanimedb-backend.tar.gz
           path: modules/backend/nyanimedb-backend.tar.gz
 
+      - name: Build auth
+        run: |
+          cd modules/auth
+          go mod tidy
+          go build -o auth .
+          tar -czvf nyanimedb-auth.tar.gz auth
+
+      - name: Upload built auth to artifactory
+        uses: actions/upload-artifact@v3
+        with:
+          name: nyanimedb-auth.tar.gz
+          path: modules/auth/nyanimedb-auth.tar.gz
+
       # Build frontend
       - uses: actions/setup-node@v5
         with:
@@ -76,6 +89,14 @@ jobs:
           push: true
           tags: meowgit.nekoea.red/nihonium/nyanimedb-backend:latest
 
+      - name: Build and push auth image
+        uses: docker/build-push-action@v6
+        with:
+          context: .
+          file: Dockerfiles/Dockerfile_auth
+          push: true
+          tags: meowgit.nekoea.red/nihonium/nyanimedb-auth:latest
+
       - name: Build and push frontend image
         uses: docker/build-push-action@v6
         with: