Bodobolero/test cum stats persistence (#10995)

## Problem

So far cumulative statistics have not been persisted when Neon scales to
zero (suspends endpoint).
With PR https://github.com/neondatabase/neon/pull/6560 the cumulative
statistics should now survive endpoint restarts and correctly trigger
the auto- vacuum and auto analyze maintenance

So far we did not have a testcase that validates that improvement in our
dev cloud environment with a real project.

## Summary of changes

Introduce testcase `test_cumulative_statistics_persistence`in the
benchmarking workflow running daily to verify:

- Verifies that the cumulative statistics are correctly persisted across
restarts.
- Cumulative statistics are important to persist across restarts because
they are used
-  when auto-vacuum an auto-analyze trigger conditions are met.
-  The test performs the following steps:
    - Seed a new project using pgbench
    - insert tuples that by itself are not enough to trigger auto-vacuum
    - suspend the endpoint
    - resume the endpoint
- insert additional tuples that by itself are not enough to trigger
auto-vacuum but in combination with the previous tuples are
- verify that autovacuum is triggered by the combination of tuples
inserted before and after endpoint suspension

## Test run


https://github.com/neondatabase/neon/actions/runs/13546879714/job/37860609089#step:6:282

.github/workflows/benchmarking.yml

@@ -140,6 +140,7 @@ jobs:
           --ignore test_runner/performance/test_logical_replication.py
           --ignore test_runner/performance/test_physical_replication.py
           --ignore test_runner/performance/test_perf_ingest_using_pgcopydb.py
+          --ignore test_runner/performance/test_cumulative_statistics_persistence.py
       env:
         BENCHMARK_CONNSTR: ${{ steps.create-neon-project.outputs.dsn }}
         VIP_VAP_ACCESS_TOKEN: "${{ secrets.VIP_VAP_ACCESS_TOKEN }}"
@@ -171,6 +172,61 @@ jobs:
       env:
         SLACK_BOT_TOKEN: ${{ secrets.SLACK_BOT_TOKEN }}
 
+  cumstats-test:
+    if: ${{ github.event.inputs.run_only_pgvector_tests == 'false' || github.event.inputs.run_only_pgvector_tests == null }}
+    permissions:
+      contents: write
+      statuses: write
+      id-token: write # aws-actions/configure-aws-credentials
+    env:
+      POSTGRES_DISTRIB_DIR: /tmp/neon/pg_install
+      DEFAULT_PG_VERSION: 17
+      TEST_OUTPUT: /tmp/test_output
+      BUILD_TYPE: remote
+      SAVE_PERF_REPORT: ${{ github.event.inputs.save_perf_report || ( github.ref_name == 'main' ) }}
+      PLATFORM: "neon-staging"
+
+    runs-on: [ self-hosted, us-east-2, x64 ]
+    container:
+      image: neondatabase/build-tools:pinned-bookworm
+      credentials:
+        username: ${{ secrets.NEON_DOCKERHUB_USERNAME }}
+        password: ${{ secrets.NEON_DOCKERHUB_PASSWORD }}
+      options: --init
+
+    steps:
+    - uses: actions/checkout@v4
+
+    - name: Configure AWS credentials
+      uses: aws-actions/configure-aws-credentials@v4
+      with:
+        aws-region: eu-central-1
+        role-to-assume: ${{ vars.DEV_AWS_OIDC_ROLE_ARN }}
+        role-duration-seconds: 18000 # 5 hours
+
+    - name: Download Neon artifact
+      uses: ./.github/actions/download
+      with:
+        name: neon-${{ runner.os }}-${{ runner.arch }}-release-artifact
+        path: /tmp/neon/
+        prefix: latest
+        aws-oicd-role-arn: ${{ vars.DEV_AWS_OIDC_ROLE_ARN }}
+    
+    - name: Verify that cumulative statistics are preserved
+      uses: ./.github/actions/run-python-test-set
+      with:
+        build_type: ${{ env.BUILD_TYPE }}
+        test_selection: performance/test_cumulative_statistics_persistence.py
+        run_in_parallel: false
+        save_perf_report: ${{ env.SAVE_PERF_REPORT }}
+        extra_params: -m remote_cluster --timeout 3600
+        pg_version: ${{ env.DEFAULT_PG_VERSION }}
+        aws-oicd-role-arn: ${{ vars.DEV_AWS_OIDC_ROLE_ARN }}
+      env:
+        VIP_VAP_ACCESS_TOKEN: "${{ secrets.VIP_VAP_ACCESS_TOKEN }}"
+        PERF_TEST_RESULT_CONNSTR: "${{ secrets.PERF_TEST_RESULT_CONNSTR }}"
+        NEON_API_KEY: ${{ secrets.NEON_STAGING_API_KEY }}
+
   replication-tests:
     if: ${{ github.event.inputs.run_only_pgvector_tests == 'false' || github.event.inputs.run_only_pgvector_tests == null }}
     permissions: