@pasties yes, thank you, I think about it and maybe I should do "aptitude search wine" and see what are other packages with "wine" in their name are there. If there "wine32" package maybe I could try run 32-bit .exe with it or try install some other related packages. I think I tried "wine32" already before but I try again for certainty.
@fisunov You probably need the 32 bit version of wine and its dependencies. I'm not that familiar with the Debian ecosystem and whether it still supports multilib (both 32 and 64bit architectures) but my money would be that it is so it's probably install away.
I would search for "Debian multilib" and see where that takes you. Happy hunting!