Client Integration for `Azure.AI.Inference`

[aaronpowell]

Is there an existing issue for this?

• I have searched the existing issues

Is your feature request related to a problem? Please describe the problem.

I am wanting to use the Azure.AI.Inference SDK to connect with an existing Azure AI Foundry or GitHub Models resource, but there isn't an Aspire integration.

Describe the solution you'd like

An Aspire integration for the SDK.

Additional context

• There's no dedicated issue, but it is mentioned in GitHub Models integration #7649 and Add AI Model Catalog Aspire Integration #2189