https://bugs.winehq.org/show_bug.cgi?id=44514
--- Comment #2 from Matteo Bruni matteo.mystral@gmail.com --- It sounds like the game started to use even more textures in a single shader... You could try to attach a (full, compressed) +d3d,d3d_shader log to make sure that this is actually the case.
The general issue is well understood, I think, and we'd need to add ARB_bindless_texture support to fix this once and for all.