Hi StephenRichter-0656,
First, Visual Studio Code supports .NET Framework building and debugging projects, but it is very limited.
And the C# extension supports limited full .NET framework debugging. It can only debug 64-bit applications with portable PDBs.
You need to modify your .csproj file to manually manage your NuGet packages, more details please refer to the Mario Figueiredo's answer.
Here are also some similar threads and hope helpful to you.
System.Windows.Forms assembly reference in VS Code
Manually Setting up a .NET Framework Project using VS Code
Finally, I would advice you to use Visual Studio (the community version would suffice). It has much better support for any .NET framework development.
Best Regards,
Daniel Zhang
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