[MAINT]: Migrate to NuGet trusted publishing

[JamieMagee]

Describe the need

NuGet trusted publishing eliminates the need to have a long-lived secret

• https://learn.microsoft.com/nuget/nuget-org/trusted-publishing
• https://github.com/NuGet/login

SDK Version

No response

API Version

No response

Code of Conduct

• [x] I agree to follow this project's Code of Conduct

[github-actions[bot]]

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