[Feature Request] using SetSeed on C# inference

### Describe the feature request

Like #23306, but for C#.

I hope we can set the seed used in onnx's PRNG from our C# code when running onnx models.

### Describe scenario use case

I am a contributor to [OpenUtau](https://github.com/stakira/openutau) singing synthesizer's AI synthesis functionality. It uses a diffusion model, which produces different result each time. Currently we cache the generated audio on the user's PC to ensure the audio remained unchanged when they opens the project file next time. However, the cache is very large. Also the same file won't produce the same output on another user's PC. So I hope that the user can manually specify a random seed to produce deterministic output audio.

Start by reading issue #23306 and the existing C# inference APIs to identify how random-number configuration is exposed. The work is done when C# callers can specify ONNX's PRNG seed and repeated inference produces deterministic output as described in the issue.

Written by the indexing model from the issue text.