Add scaffolding for compilation tests

**Description**
We are currently adding various `static_assert`s and similar to detect errors at compilation time, but we are not continuously testing them, as we do not have infrastructure that would make adding compilation tests easy.

We should change that, so that adding new compilation tests is easy and things like 53281b471f881b86d1ed037b3df0c239287552af are well tested.

Start by reviewing the existing static_assert usage and commit 53281b471f881b86d1ed037b3df0c239287552af, then inspect the current test and build infrastructure. Done means new compilation tests can be added easily and static assertions are continuously exercised.

Written by the indexing model from the issue text.