http://bugs.winehq.org/show_bug.cgi?id=23154
--- Comment #2 from Luke Bratch l_bratch@yahoo.co.uk 2010-06-13 07:02:25 --- I believe the game does have a 64-bit version, but this appears to the 32-bit version. Perhaps it does some kind of 64-bit test by running a 64-bit executable when launching to see if the 64-bit version would be the current machine?
Running all of the .exe files through 'file' indicates that they are all 32-bit.