ci: skip Playwright install on cache hit (#26060)

* update

* Add cache-db action to e2e workflow

* fix: remove cache-db from prepare job (requires Postgres service)

The prepare job doesn't have a Postgres service container, so cache-db
was failing with 'connection refused' when trying to run psql.

cache-db should only run in the e2e shards which have the Postgres service.

Co-Authored-By: anik@cal.com <adhabal2002@gmail.com>

* update

* Update e2e.yml

* Add newline at end of e2e.yml file

* fix

* Fix indentation in e2e.yml for retention-days

---------

Co-authored-by: Devin AI <158243242+devin-ai-integration[bot]@users.noreply.github.com>

.github/actions/yarn-playwright-install/action.yml

@@ -17,5 +17,6 @@ runs:
           ${{ github.workspace }}/node_modules/playwright
         key: ${{ runner.os }}-playwright-${{ env.PLAYWRIGHT_VERSION }}
     - name: Yarn playwright install
+      if: steps.playwright-cache.outputs.cache-hit != 'true'
       shell: bash
       run: yarn playwright install --with-deps