Ramsey expansions of affinely independent Euclidean metric spaces

Determine whether the class of all finite affinely independent Euclidean metric spaces has a precompact Ramsey expansion.

Background

Affinely independent Euclidean metric spaces form an amalgamation class with a complicated membership condition. The question is presented as a modern formulation of earlier questions about whether free linear orderings suffice.

References

Does the class of all finite affinely independent Euclidean metric spaces have a precompact Ramsey expansion?

— Twenty years of Nešetřil's classification programme of Ramsey classes  (2501.17293 - Hubička et al., 28 Jan 2025) in Question, subsection Euclidean metric spaces