[testing] Run the Quantinuum integration tests unconditionally (#2665)

Author: khalatepradnya

.github/workflows/integration_tests.yml

@@ -387,7 +387,7 @@ jobs:
         shell: bash
 
       - name: Setup quantinum account
-        if: github.event_name == 'schedule' || inputs.target == 'nightly' || inputs.target == 'quantinuum'
+        if: (success() || failure()) && (github.event_name == 'schedule' || inputs.target == 'nightly' || inputs.target == 'quantinuum')
         run: |
           curl -X POST -H "Content Type: application/json" -d '{ "email":"${{ secrets.BACKEND_LOGIN_EMAIL }}","password":"${{ secrets.QUANTINUUM_PASSWORD }}" }' https://qapi.quantinuum.com/v1/login > credentials.json
           id_token=`cat credentials.json | jq -r '."id-token"'`