Update Azure.Core to latest version - lift all runtime dependencies to latest#14361

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eerhardt wants to merge 2 commits intodotnet:mainfrom

eerhardt:UpdateACAProvisioning

Commits on Feb 10, 2026

Update to Azure.Core 1.51.1
eerhardt
committed

Commits on Feb 11, 2026

Update AzureDeployerTests to use WaitForShutdown instead of StopAsync
eerhardt
committed