Creating an Archive fails to find headers from static library project

In my workspace I have a project that builds a static library. That project declares public header files and in the project we declare the Public Headers Folder Path as "include/TheLibrary".

In the main application project, I am usually able to include public headers related to the static library as:

#include <TheLibrary/HeaderFile.h>

I include a header file this way from my applications Swift bridging header. The application builds and runs without trouble.

However, when I Archive the project - either from Xcode, or from the command line using xcodebuild the archive command fails while precompiling the Swift Bridging Header stating that the <TheLibrary/HeaderFile.h> cannot be found.

This only happens when Archiving. Building and testing work.

Why is Xcode unable to find my static library project's public headers when archiving?