ci(workflow): upload test trace for deploy e2e (#51389)

### What?

WEB-1193.

context: https://vercel.slack.com/archives/C04DUD7EB1B/p1686873054726149

we want to observe flakyness over deploy e2e tests.

.github/workflows/build_and_deploy.yml

@@ -418,6 +418,7 @@ jobs:
       NEXT_TELEMETRY_DISABLED: 1
       VERCEL_TEST_TOKEN: ${{ secrets.VERCEL_TEST_TOKEN }}
       VERCEL_TEST_TEAM: vtest314-next-e2e-tests
+      DATADOG_API_KEY: ${{ secrets.DATA_DOG_API_KEY }}
     steps:
       - uses: actions/cache@v3
         timeout-minutes: 5
@@ -436,7 +437,7 @@ jobs:
       - run: RESET_VC_PROJECT=true node scripts/reset-vercel-project.mjs
         name: Reset test project
 
-      - run: docker run --rm -v $(pwd):/work mcr.microsoft.com/playwright:v1.28.1-jammy /bin/bash -c "cd /work && NODE_VERSION=${{ env.NODE_LTS_VERSION }} ./scripts/setup-node.sh && npm i -g pnpm@${PNPM_VERSION} > /dev/null && VERCEL_TEST_TOKEN=${{ secrets.VERCEL_TEST_TOKEN }} VERCEL_TEST_TEAM=vtest314-next-e2e-tests NEXT_TEST_JOB=1 NEXT_TEST_MODE=deploy TEST_TIMINGS_TOKEN=${{ secrets.TEST_TIMINGS_TOKEN }} NEXT_TEST_CONTINUE_ON_ERROR=1 xvfb-run node run-tests.js --type e2e >> /proc/1/fd/1"
+      - run: docker run --rm -v $(pwd):/work mcr.microsoft.com/playwright:v1.28.1-jammy /bin/bash -c "cd /work && NODE_VERSION=${{ env.NODE_LTS_VERSION }} ./scripts/setup-node.sh && npm i -g pnpm@${PNPM_VERSION} > /dev/null && DATADOG_TRACE_NEXTJS_TEST=TRUE DATADOG_API_KEY=${DATADOG_API_KEY} DD_ENV=ci VERCEL_TEST_TOKEN=${{ secrets.VERCEL_TEST_TOKEN }} VERCEL_TEST_TEAM=vtest314-next-e2e-tests NEXT_TEST_JOB=1 NEXT_TEST_MODE=deploy TEST_TIMINGS_TOKEN=${{ secrets.TEST_TIMINGS_TOKEN }} NEXT_TEST_CONTINUE_ON_ERROR=1 xvfb-run node run-tests.js --type e2e >> /proc/1/fd/1"
         name: Run test/e2e (deploy)
 
       - name: Upload test trace
@@ -449,6 +450,14 @@ jobs:
           path: |
             test/traces
 
+      - name: Upload test trace to datadog
+        continue-on-error: true
+        run: |
+          ls -al ./test
+          npm install -g [email protected] @datadog/[email protected]
+          jrm ./nextjs-test-result-junit.xml "test/test-junit-report/**/*.xml"
+          DD_ENV=ci datadog-ci junit upload --tags test.type:nextjs_deploy_e2e --service nextjs ./nextjs-test-result-junit.xml
+
   releaseStats:
     name: Release Stats
     runs-on: ubuntu-latest