Coherent EPPA for n-partite and semigeneric tournaments

Determine whether finite n-partite tournaments for some 2≤n≤ω, or finite semigeneric tournaments, have coherent EPPA.

Background

These classes have EPPA, but the existence of dense locally finite subgroups of the automorphism groups of their Fraïssé limits remains unresolved; semigeneric tournaments have ample generics but not APA.

References

Does the class of all finite $n$-partite tournaments for some $2\leq n \leq \omega$, or the class of all finite semigeneric tournaments have coherent EPPA?

— Twenty years of Nešetřil's classification programme of Ramsey classes  (2501.17293 - Hubička et al., 28 Jan 2025) in Question 6.4, subsection EPPA