ci: update CI parametric tests configuration [backport 1.16] (#6281)

Backport 19ad829 from #6260 to 1.16.

Uses new system-tests parametric scenario

## Checklist

- [x] Change(s) are motivated and described in the PR description.
- [x] Testing strategy is described if automated tests are not included
in the PR.
- [x] Risk is outlined (performance impact, potential for breakage,
maintainability, etc).
- [x] Change is maintainable (easy to change, telemetry, documentation).
- [x] [Library release note
guidelines](https://ddtrace.readthedocs.io/en/stable/releasenotes.html)
are followed. If no release note is required, add label
`changelog/no-changelog`.
- [x] Documentation is included (in-code, generated user docs, [public
corp docs](https://github.com/DataDog/documentation/)).
- [x] Backport labels are set (if
[applicable](https://ddtrace.readthedocs.io/en/latest/contributing.html#backporting))

## Reviewer Checklist

- [x] Title is accurate.
- [x] No unnecessary changes are introduced.
- [x] Description motivates each change.
- [x] Avoids breaking
[API](https://ddtrace.readthedocs.io/en/stable/versioning.html#interfaces)
changes unless absolutely necessary.
- [x] Testing strategy adequately addresses listed risk(s).
- [x] Change is maintainable (easy to change, telemetry, documentation).
- [x] Release note makes sense to a user of the library.
- [x] Reviewer has explicitly acknowledged and discussed the performance
implications of this PR as reported in the benchmarks PR comment.
- [x] Backport labels are set in a manner that is consistent with the
[release branch maintenance
policy](https://ddtrace.readthedocs.io/en/latest/contributing.html#backporting)

Co-authored-by: Roberto Montero <[email protected]>

Author: github-actions[bot]

.github/workflows/system-tests.yml

@@ -110,7 +110,7 @@ jobs:
   parametric:
     runs-on: ubuntu-latest
     env:
-      CLIENTS_ENABLED: python
+      TEST_LIBRARY: python
       PYTHON_DDTRACE_PACKAGE: git+https://github.com/Datadog/dd-trace-py.git@${{ github.sha }}
     steps:
       - name: Checkout system tests
@@ -120,9 +120,17 @@ jobs:
       - uses: actions/setup-python@v4
         with:
           python-version: '3.9'
+      - name: Build
+        run: ./build.sh -i runner
       - name: Run
-        run: |
-          cd parametric
-          pip install wheel
-          pip install -r requirements.txt
-          ./run.sh
+        run: ./run.sh PARAMETRIC
+
+      - name: Compress artifact
+        if: ${{ always() }}  
+        run: tar -czvf artifact.tar.gz $(ls | grep logs)
+      - name: Upload artifact
+        uses: actions/upload-artifact@v3
+        if: ${{ always() }}
+        with:
+          name: logs_parametric
+          path: artifact.tar.gz