fix(infra-19): reconcile azuredeploy.json with public to unblock sync (microsoft-foundry#338)

The scheduled sync to microsoft-foundry/foundry-samples has been failing
on the seed-marks-recovery safeguard because public main has a different
version of this file than private last synced.

Root cause: microsoft-foundry/foundry-samples/.github/workflows/run-setup.yml
runs on every push to public main and regenerates azuredeploy.json with
bicep-latest, then pushes directly to main as "Automatic fixes" (public
commit 21fe221). Private's azuredeploy.json
was generated with bicep 0.35.1; public's workflow rewrote it with bicep
0.43.8. No semantic logic change -- just _generator.version, recalculated
templateHashes, and Microsoft.Resources/deployments apiVersion bumped from
2022-09-01 to 2025-04-01.

This commit aligns private with public so the next sync run can succeed.
The structural fix (disable public's run-setup.yml; make public a pure
mirror) is tracked in ADO Bug 5293956:
https://msdata.visualstudio.com/Vienna/_workitems/edit/5293956

This unblock work tracked in ADO Task 5294148:
https://msdata.visualstudio.com/Vienna/_workitems/edit/5294148

Failed sync run that motivated this change:
https://github.com/microsoft-foundry/foundry-samples-pr/actions/runs/26147601924

Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

Author: 3 people