feat: change browser build to not use pr target

.github/workflows/build-browser.yml

@@ -1,7 +1,7 @@
 name: Build Browser
 
 on:
-  pull_request_target:
+  pull_request:
     types: [opened, synchronize]
     branches-ignore:
       - 'l10n_master'
@@ -38,15 +38,9 @@ defaults:
     shell: bash
 
 jobs:
-  check-run:
-    name: Check PR run
-    uses: bitwarden/gh-actions/.github/workflows/check-run.yml@main
-
   setup:
     name: Setup
     runs-on: ubuntu-22.04
-    needs:
-      - check-run
     outputs:
       repo_url: ${{ steps.gen_vars.outputs.repo_url }}
       adj_build_number: ${{ steps.gen_vars.outputs.adj_build_number }}