ci(test): run frontend checks on v2 pushes (#572)

.github/workflows/test.yml

@@ -4,16 +4,20 @@ on:
   pull_request:
     branches:
       - v2
+  push:
+    branches:
+      - v2
 
 permissions:
   contents: read
 
 concurrency:
-  group: frontend-tests-${{ github.event.pull_request.number }}
+  group: ${{ github.workflow }}-${{ github.event.pull_request.number || github.ref }}
   cancel-in-progress: true
 
 jobs:
   format:
+    if: github.event_name == 'pull_request'
     runs-on: ubuntu-latest
     timeout-minutes: 20
     steps:
@@ -58,7 +62,7 @@ jobs:
       - name: Lint
         run: yarn lint
 
-  unit-tests:
+  typecheck-and-coverage:
     runs-on: ubuntu-latest
     timeout-minutes: 20
     steps: