Release new version of Azure.Core that uses the new System.ClientModel version

[m-nash]

[github-actions]

Hi @m-nash, I'm an AI Support assistant here to help with your issue. While the Azure SDK team reviews your request, I wanted to provide some possible tips and documentation that might help you in the meantime.

• The changelogs for multiple packages (e.g., 1.0.0-beta.5) note that the new model serialization now uses System.ClientModel. This release exposes features like JsonModelWriteCore for model serialization. See details in this document.
• The integration of System.ClientModel appears consistent across our beta releases, which should help align Azure.Core with the new serialization model.
• When planning the new release of Azure.Core, the changes described in the System.ClientModel README and associated changelogs provide guidance on implementation details.

Confidence Score: 0.95

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