The Azure Functions extension is not installed directly after clicking the "Install" button in the notification

OS: All
Build Version: 20211105.14
Regression: Not a regression

Repro Steps:

1. Make sure the Azure Functions extension is not installed in VS Code.
2. Install Azure Static Web Apps extension in VS Code -> Open a reactsite project in VS Code -> Click "Create HTTP Function" button.
3. A notification pops up asking to install the Azure Functions extension -> Click "Install" button.
4. Check whether the Azure Functions extension is installed directly.

Expect:
The Azure Functions extension is installed directly.

Actual:
The Azure Functions extension is not installed directly.

More Info:
Make sure the Azure Functions extension is not installed in VS Code -> Install Azure Static Web Apps extension in VS Code -> Open a reactsite project in VS Code -> A notification pops up automatically asking to install the Azure Functions extension -> Click "Install" button -> The Azure Functions extension is installed directly.

Reproduce the Create HTTP Function workflow in a React project with the Azure Functions extension absent, then follow the notification's Install action. Compare the expected direct installation with the actual behavior and verify that the Azure Functions extension is installed immediately after the fix.