[CoR] Location field remains blank after deployment plan is generated with a selected region

[v-ruizh]

OS: Win11 x64
VS Code Insider: 1.132.0-insider
Build Version: 0.12.8-alpha.0

Repro Steps:

1. Create an Azure Project.
2. Proceed to the Deployment stage.
3. Select a deployment location (e.g. East US 2).
4. Generate the deployment plan.
5. Observe the Azure Deployment Plan page.

Expect:
The Location dropdown should display the selected deployment region.

Actual:
The deployment plan references the selected region (East US 2), but the Location field remains blank and continues to display "Select a location...".

More Info:

1. This issue is intermittent and does not reproduce consistently.
2. The deployment plan already referenced East US 2 and the location had been selected earlier through the chat workflow. However, the Location field in the Deployment Plan UI appeared empty. After reselecting the same location value (East US 2) and approving the plan, the system treated it as a location update, regenerated deployment-plan.md, and requested another approval.

[motm32]

Hopefully this should be fixed by this PR I already have out: #1627