I made a set of cork MTG coasters a few years back, but never liked the fact that liquid would sit on the surface to get easily pushed off. These have recessed logos and a raised outer wall for better liquid retention (and edge-finding).
These were printed using PrusaSlicer's multi-material painting to get colour only in the recesses, but I suppose a full-layer colour swap could be an option as well (it would result in a ring of colour on the sides as well).
The author hasn't provided the model origin yet.