Hm, the logs do seem to indicate that 32-bit wine is needed:
(from the -d output)
ERROR 2026-11-09 17:58:52,740 [startup.check_libs:62]:i386 libGL.so.1 missing (needed by opengl)
ERROR 2026-11-09 17:58:52,740 [startup.check_libs:62]:i386 libvulkan.so.1 missing (needed by vulkan)
ERROR 2026-11-09 17:58:52,740 [startup.check_libs:62]:i386 libgnutls.so.30 missing (needed by gnutls)
it looks like wine32 is missing, you should install it.
as root, please execute "apt-get install wine32:i386"
I assume from your post you’ve tried to install wine but it wouldn’t install 32-bit? Could you tell me what exactly goes wrong?
If your distro supports flatpak and you’re willing to use it, you can try the flatpak version of lutris. This will install the flatpak version of wine, which might be able to install if the apt version won’t.
Lutris needs the system to have wine installed sadly, since even when it uses its own wine version it’s still using some system libraries.
The messages about steam are likely because you’re using Proton (the default for lutris), which is a wine fork adapted by Valve (mainly for use by steam).
Tangent: if you don't want to use Proton
If you don’t want to use Proton, you can go to the three horizontal lines up top → preferences → runners, scroll down to wine, and press the little icon next to it (circled in red in the screenshot). Then make sure a non-proton version is installed.
(You might not see any. I don’t know if they were all removed but many were. You can add custom ones with a tool like Protonup-QT (website / github) (available as flatpak or as appimage) which, while focused on proton, can still add regular wine versions.)
After adding a wine version, you need to select it to be used as well. Either, in the same place as the screenshot, press the tool icon and select your preferred default wine version in the drop-down menu “wine version”. Or go to the game, and select configure → runner options and select it there specifically for that game. The first might only apply to new games, I’m not entirely certain (and not willing to risk breaking my games to test).
Anyway, here is the screenshot:

I personally don’t like the shift to proton as many of my games won’t run with it. I don’t know what it’s doing differently, but I don’t like it.