Race condition when saving deployment state during Bicep provisioning

There's a sporadic issue with saving deployment state when concurrently provisioning Azure resources during deployment, even after the changes in https://github.com/dotnet/aspire/pull/11974.

```
22:33:17 (deploy-compute) ✗ Deploying api: Failed to deploy api: Deployment failed: An item with the same key has already 
been added. Key: Deployments (Parameter 'key') (20.8s)
``` 