diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 6035d6bf3d..2600d2bb04 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -12,6 +12,14 @@ jobs:
       options: --user 1001
     env:
       TZ: Europe/Copenhagen
+    strategy:
+      # When one test fails, DO NOT cancel the other containers, because this
+      # will kill Cypress processes leaving Cypress Cloud hanging.
+      # https://github.com/cypress-io/github-action/issues/48
+      fail-fast: false
+      matrix:
+        # Run 3 copies of the current job in parallel
+        containers: [1, 2, 3]
     steps:
       - uses: actions/checkout@master
       - name: Setup Node
@@ -28,9 +36,16 @@ jobs:
       - name: Cypress run
         uses: cypress-io/github-action@v6
         with:
+          install: false
           start: yarn start:storybook:test
           wait-on: "http://localhost:57021"
           browser: chrome
+          group: "Integration tests"
+          parallel: true
+          record: true
+        env:
+          CYPRESS_RECORD_KEY: ${{ secrets.CYPRESS_RECORD_KEY }}
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
       - name: Upload screenshots
         uses: actions/upload-artifact@v4
         if: failure()
diff --git a/cypress.json b/cypress.json
index 6f523ce288..54d232b3d0 100644
--- a/cypress.json
+++ b/cypress.json
@@ -6,5 +6,6 @@
   "retries": {
     "runMode": 3,
     "openMode": 0
-  }
+  },
+  "projectId": "4trcdv"
 }