Add Richards's script to check for missing headers

[buechlerm]

PR Summary

Add a github ci check to make sure all headers are registered.

PR Checklist

• Adds a test for any bugs fixed. Adds tests for new features.
• Format your changes by using the make format command after configuring with cmake.
• Document any new features, update documentation for changes made.
• Make sure the copyright notice on any files you modified is up to date.
• After creating a pull request, note it in the CHANGELOG.md file.
• LANL employees: make sure tests pass both on the github CI and on the Darwin CI
• If ML was used, make sure to add a disclaimer at the top of a file indicating ML was used to assist in generating the file.
• If Agentic AI was used, have the AI generate a "proposed changes" markdown file and store it in the plan_histories folder, with a filename the same as the MR number.

If preparing for a new release, in addition please check the following:

• Update the version in cmake.
• Move the changes in the CHANGELOG.md file under a new header for the new release, and reset the categories.
• Maintainers: ensure spackages are up to date:
  • LANL-internal team, update XCAP spackages
  • Current maintainer of upstream spackages, submit MR to spack

[buechlerm]

Test is failing because it works as Richard suggested. It's catching: Headers missing register_headers() install logic:
singularity-eos/base/eos_concepts.hpp
singularity-eos/base/finite_diff.hpp
singularity-eos/closure/multiphase_material.hpp
singularity-eos/eos/eos_spiner_construction.hpp

Which actually includes one more than I found building flag: The multiphase_material.hpp file.

@Yurlungur were we intentionally hiding that for now or should I add that in #647?

[Yurlungur]

That's not intentional. We should add it.

[Yurlungur]

Thanks for the fixes!