Fix the logs upload step for integration tests

.github/workflows/integration.yml

@@ -229,19 +229,19 @@ jobs:
           GCS_BUCKET: dbt-ci
         run: tox -- --ddtrace
 
-      - uses: actions/upload-artifact@v4
-        if: always()
-        with:
-          name: logs
-          path: ./logs
-          overwrite: true
-
       - name: Get current date
         if: always()
         id: date
         run: |
           echo "date=$(date +'%Y-%m-%dT%H_%M_%S')" >> $GITHUB_OUTPUT #no colons allowed for artifacts
 
+      - uses: actions/upload-artifact@v4
+        if: always()
+        with:
+          name: logs_${{ matrix.python-version }}_${{ matrix.os }}_${{ matrix.adapter }}-${{ steps.date.outputs.date }}
+          path: ./logs
+          overwrite: true
+
       - uses: actions/upload-artifact@v4
         if: always()
         with: