modulemap for a framework that uses another framework's interface in its interface

I have an app that uses FrameworkA and FrameworkB.

FrameworkA is simple, i.e., no dependencies.

FrameworkB includes FrameworkA, which is normal. But it also uses pieces of FrameworkA's public interface in its own public interface. Yes, I find that a bit odd... (I didn't make those frameworks... just trying to sort out things...)

Now I am trying to enable Xcode's module verifier for FrameworkB and the problem begins...

FrameworkB can no longer have

#import <FrameworkA/FramworkASomethingSomething.h>

in its public headers.

The modulemap file for FrameworkB currently looks like

framework module FrameworkB {
  umbrella header "FrameworkB.h"

  export *
  module * { export * }
}

Is it possible still use FrameworkA's public interface in FrameworkB's public interface?

And if yes, how is that sorted out in the modulemap?

So far I have tried

framework module FrameworkB {
  umbrella header "FrameworkB.h"

  export *
  module * { export * }

  link framework "FrameworkA"

  module FrameworkA [system] {
      umbrella header "FrameworkA.h"
      export *
  }
}

But it gives the error

Umbrella header 'FrameworkA.h' not found

Thanks!