There's generally three things you can play with on Linux
- winecfg: run it and enable/disable the checkboxes for Emulate a Virtual Desktop; if that doesn't help, try enabling/disabling the two "windows controls" checkboxes next to it
- drivers (on Linux Mint use the Driver Manager in menu): switch to different versions of your graphics card driver (eg. proprietary instead of open source, or vice versa, or just slightly newer/older versions of each)
- wine itself: try playing with slightly different versions of Wine (eg. staging vs. development)
It's all a lot more of a guessing game than an exact science. Good luck.