build: unify project development commands

.github/workflows/docs.yml

@@ -4,12 +4,18 @@ on:
   pull_request:
     paths:
       - "docs/**"
+      - "Makefile"
+      - "config.mk"
+      - "make/**"
       - ".github/workflows/docs.yml"
   push:
     branches:
       - master
     paths:
       - "docs/**"
+      - "Makefile"
+      - "config.mk"
+      - "make/**"
       - ".github/workflows/docs.yml"
 
 permissions:
@@ -23,9 +29,6 @@ jobs:
   quality:
     runs-on: ubuntu-latest
     timeout-minutes: 15
-    defaults:
-      run:
-        working-directory: docs
     steps:
       - name: Checkout
         uses: actions/checkout@v4
@@ -37,11 +40,5 @@ jobs:
           cache: npm
           cache-dependency-path: docs/package-lock.json
 
-      - name: Install dependencies
-        run: npm ci
-
-      - name: Type-check
-        run: npm run typecheck
-
-      - name: Build
-        run: npm run build
+      - name: Check documentation website
+        run: make check-docs