devops: fix publishing (#1021)

Fixes
https://github.com/microsoft/playwright-mcp/actions/runs/17521002811/job/49764720465
Fixes https://github.com/microsoft/playwright-mcp/issues/1014

.github/workflows/ci.yml

@@ -75,8 +75,6 @@ jobs:
         MCP_IN_DOCKER: 1
 
   test_extension:
-    strategy:
-      fail-fast: false
     runs-on: macos-latest
     defaults:
       run:

.github/workflows/publish-canary.yml

@@ -35,7 +35,6 @@ jobs:
 
       - run: npm ci
       - run: npx playwright install --with-deps
-      - run: npm run build
       - run: npm run lint
       - run: npm run ctest
 

.github/workflows/publish.yml

@@ -16,7 +16,6 @@ jobs:
           registry-url: https://registry.npmjs.org/
       - run: npm ci
       - run: npx playwright install --with-deps
-      - run: npm run build
       - run: npm run lint
       - run: npm run ctest
       - run: npm publish --provenance