C# capitalization convention private methods

**Issue description**
Looking into C# capitalization conventions, I can't seem to find any convention regarding private methods.

On this page it mentions methods but does not explicitly mention private methods:
https://learn.microsoft.com/en-us/dotnet/standard/design-guidelines/capitalization-conventions https://github.com/dotnet/docs/blob/e619ad35ae2352dae87c3efa261f1763e86c876e/docs/standard/design-guidelines/capitalization-conventions.md?plain=1#L51

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The runtime [repository](https://github.com/dotnet/runtime/) has a coding-style where they explicitly mention `We use PascalCasing for all method names, including local functions.` see: [https://github.com/dotnet/runtime/blob/main/docs/coding-guidelines/coding-style.md](https://github.com/dotnet/runtime/blob/main/docs/coding-guidelines/coding-style.md)

Whatever the official convention is, it would be nice if it could be added to the documentation so it's clear to everyone wanting to follow Microsoft's capitalization conventions and other best practices.

Thanks!