[MAINT]: Migrate to NuGet trusted publishing

### 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_

### Relevant log output

```shell

```

### Code of Conduct

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