Problem with type provider using dotnet fsi

Please provide a succinct description of the issue.

**Repro steps**

Provide the steps required to reproduce the problem:

1. Run the [following sample](https://gist.github.com/wallymathieu/dc73bf8b387ed4ca9384fda1ad939c78#file-typelevel-fsx) of F#+ typelevel project in fsi
2. Compare the compilation output with the result from running a similar [program with an fsproj and Program.fs](https://gist.github.com/wallymathieu/dc73bf8b387ed4ca9384fda1ad939c78#file-program-fs)

[typeprovider issue.zip](https://github.com/dotnet/fsharp/files/7779812/typeprovider.issue.zip)

**Expected behavior**

The expectation is that the script should compile, since the program does.

**Actual behavior**

The script compilation fails with:

```

let x = TypeNat<2>.Value;;
--------^^^^^^^^^^

/Users/mathieu/src/fs/typelevel/stdin(3,9): error FS1109: A reference to the type 'FSharpPlus.TypeLevel.TypeNat,value="2"' in assembly 'FSharpPlus.Providers' was found, but the type could not be found in that assembly
```

**Known workarounds**

Compile in a project instead of in a script

**Related information**

Provide any related information (optional):

* Operating system: Windows 10, macOS 12
* .NET Runtime kind (.NET Core, .NET Framework, Mono) .net core 6
* Editing Tools (e.g. Visual Studio Version, Visual Studio)