fifth pass at ci

.github/workflows/build.yaml

@@ -21,12 +21,12 @@ jobs:
     strategy:
       matrix:
         include:
-          - dockerfile: Dockerfile
+          - dockerfile: public/Dockerfile
             image: mywebsite-public
-            context: ./backend/public
-          - dockerfile: Dockerfile
+            context: ./backend
+          - dockerfile: task/Dockerfile
             image: mywebsite-task
-            context: ./backend/task
+            context: ./backend
           - dockerfile: Dockerfile
             image: mywebsite-frontend
             context: ./frontend