Adding a .resx file to an SDK project using Visual Studio results in the following added to the project file:
  <ItemGroup>
    <Compile Update="Resource1.Designer.cs">
      <DesignTime>True</DesignTime>
      <AutoGen>True</AutoGen>
      <DependentUpon>Resource1.resx</DependentUpon>
    </Compile>
  </ItemGroup>
  <ItemGroup>
    <EmbeddedResource Update="Resource1.resx">
      <Generator>ResXFileCodeGenerator</Generator>
      <LastGenOutput>Resource1.Designer.cs</LastGenOutput>
    </EmbeddedResource>
  </ItemGroup>Ideally, nothing would be added to the project file when you add a .resx to the project.  We may be able to do this in the SDK just by setting the appropriate metadata on the implicit EmbeddedResource items and the Compile items for .Designer.cs files.