This is what I get:

$ LIBGL_DEBUG=verbose wine DMCR.EXE 
libGL: pci id for fd 15: 1002:6810, driver radeonsi
libGL: OpenDriver: trying /usr/lib/i386-linux-gnu/dri/tls/radeonsi_dri.so
libGL: OpenDriver: trying /usr/lib/i386-linux-gnu/dri/radeonsi_dri.so
libGL: dlopen /usr/lib/i386-linux-gnu/dri/radeonsi_dri.so failed
(libLLVM-4.0.so.1: failed to map segment from shared object)
libGL: OpenDriver: trying ${ORIGIN}/dri/tls/radeonsi_dri.so
libGL: OpenDriver: trying ${ORIGIN}/dri/radeonsi_dri.so
libGL: dlopen ${ORIGIN}/dri/radeonsi_dri.so failed (libLLVM-4.0.so.1: failed to
map segment from shared object)
libGL: OpenDriver: trying /usr/lib/dri/tls/radeonsi_dri.so
libGL: OpenDriver: trying /usr/lib/dri/radeonsi_dri.so
libGL: dlopen /usr/lib/dri/radeonsi_dri.so failed
(/usr/lib/dri/radeonsi_dri.so: cannot open shared object file: No such file or
directory)
libGL error: unable to load driver: radeonsi_dri.so
libGL error: driver pointer missing
libGL error: failed to load driver: radeonsi
libGL: pci id for fd 15: 1002:6810, driver radeonsi
libGL: OpenDriver: trying /usr/lib/i386-linux-gnu/dri/tls/radeonsi_dri.so
libGL: OpenDriver: trying /usr/lib/i386-linux-gnu/dri/radeonsi_dri.so
libGL: dlopen /usr/lib/i386-linux-gnu/dri/radeonsi_dri.so failed
(libLLVM-4.0.so.1: failed to map segment from shared object)
libGL: OpenDriver: trying ${ORIGIN}/dri/tls/radeonsi_dri.so
libGL: OpenDriver: trying ${ORIGIN}/dri/radeonsi_dri.so
libGL: dlopen ${ORIGIN}/dri/radeonsi_dri.so failed (libLLVM-4.0.so.1: failed to
map segment from shared object)
libGL: OpenDriver: trying /usr/lib/dri/tls/radeonsi_dri.so
libGL: OpenDriver: trying /usr/lib/dri/radeonsi_dri.so
libGL: dlopen /usr/lib/dri/radeonsi_dri.so failed
(/usr/lib/dri/radeonsi_dri.so: cannot open shared object file: No such file or
directory)
libGL error: unable to load driver: radeonsi_dri.so
libGL error: driver pointer missing
libGL error: failed to load driver: radeonsi
libGL: OpenDriver: trying /usr/lib/i386-linux-gnu/dri/tls/swrast_dri.so
libGL: OpenDriver: trying /usr/lib/i386-linux-gnu/dri/swrast_dri.so
libGL: dlopen /usr/lib/i386-linux-gnu/dri/swrast_dri.so failed
(libLLVM-4.0.so.1: failed to map segment from shared object)
libGL: OpenDriver: trying ${ORIGIN}/dri/tls/swrast_dri.so
libGL: OpenDriver: trying ${ORIGIN}/dri/swrast_dri.so
libGL: dlopen ${ORIGIN}/dri/swrast_dri.so failed (libLLVM-4.0.so.1: failed to
map segment from shared object)
libGL: OpenDriver: trying /usr/lib/dri/tls/swrast_dri.so
libGL: OpenDriver: trying /usr/lib/dri/swrast_dri.so
libGL: dlopen /usr/lib/dri/swrast_dri.so failed (/usr/lib/dri/swrast_dri.so:
cannot open shared object file: No such file or directory)
libGL error: unable to load driver: swrast_dri.so
libGL error: failed to load driver: swrast
X Error of failed request:  BadValue (integer parameter out of range for
operation)
  Major opcode of failed request:  156 (GLX)
  Minor opcode of failed request:  3 (X_GLXCreateContext)
  Value in failed request:  0x0
  Serial number of failed request:  169
  Current serial number in output stream:  173

Cossacks, which uses the same engine, doesn't have this problem. I tried to
compile Mesa with statically linked LLVM, but "--disable-llvm-shared-libs" has
no effect.