First thing is: the path to the executable run by Wine, as well as location of the wineprefix can be found in game link config.
Then, in the “Runner options” tab, you’ll find the name of the Wine version to look for. Unless it says System (which means default
available from command line), the Wine binary location will be
(there’s also “Custom” but I’m pretty sure it’s only ever selected manually).
The simplest way to run the executable (once) would be to run
WINEPREFIX="/path/to/wineprefix" wine /path/to/executable
/path/to/executable replaced with the path you found in the game config (and in case it’s not using system wine,
wine would need to be replaced with path to Wine executable).
Alternatively, you can use Q4Wine for that purpose. First, register (Ctrl+M) the Wine version in the app (if it’s not the system Wine, which is called Default in the app):
Then, in the Prefixes tab, press “Create new”, and register the game prefix (“Prefix path” in the General tab, “Version” in the Wine Settings tab, and also “Architecture” in General if there’s a specific value in “Prefix architecture” in the game config). Skipping the Setup tab (as the prefix already exists), select the prefix in the Programs tab, and open New Icon dialog using popup menu (right-click) in the right panel. Then you can simply select the executable (“Program” field), and also an icon if you want it (button with the icon to the right of Icon Options); then just run the newly-created icon.
Logs for these runs can be found in the Logging tab (unless it’s disabled, you can check/toggle it there).
As for downloading a specific version of Wine, you can do it in the Wine version manager of Lutris (by clicking a box icon next to Wine runner). But, the oldest one there appears to be v4.0… Dunno, maybe a Slackware release will work? I’d try the oldest version from Lutris first.