ci: Remove playwright caching (seems to be broken) (#1430)

Author: amannn

.github/workflows/main.yml

@@ -24,19 +24,8 @@ jobs:
           path: ${{ github.workspace }}/examples/*/.next/cache
           key: ${{ runner.os }}-nextjs-${{ hashFiles('pnpm-lock.yaml') }}
 
-      # Playwright
-      - run: |
-          PLAYWRIGHT_VERSION=$(cat pnpm-lock.yaml | grep /@playwright/test@ | sed 's/.*@\([^:]*\):.*/\1/')
-          echo "PLAYWRIGHT_VERSION=$PLAYWRIGHT_VERSION" >> $GITHUB_ENV
-      - uses: actions/cache@v4
-        name: Restore playwright
-        id: cache-playwright-browsers
-        with:
-          path: ~/.cache/ms-playwright
-          key: playwright-browsers-${{ env.PLAYWRIGHT_VERSION }}
-      - if: steps.cache-playwright-browsers.outputs.cache-hit != 'true'
-        # Setting up playwright in one example is sufficient
-        run: pnpm --filter example-app-router-playground exec playwright install --with-deps
+      # Setting up playwright in one example is sufficient
+      - run: pnpm --filter example-app-router-playground exec playwright install --with-deps
 
       - run: pnpm run build
       - run: pnpm run lint