Investigate adding `checkbinarycompat` to check binary incompatibilities

It seems like we should be catching regressions such as https://github.com/dotnet/msbuild/pull/10650 at build time, to ensure MSBuild binaries align with NuGet binaries.

Consider using https://www.nuget.org/packages/checkbinarycompat

The readme contains extensive documentation on how to use and how it works, but basically you point it to a directory full of binaries and .app.config files and it checks that for every assembly, type and member reference it actually resolves in the destination assembly, and it checks binding redirect ranges for all entries in the app.config file.