Wine GE is discontinued in favor of Proton GE. See https://github.com/GloriousEggroll/wine-ge-custom/releases/tag/GE-Proton8-26
I'm not entirely sure how Lutris updates proton, but it should be able to detect and use the Proton GE versions you installed to Steam with ProtonUp-Qt.
This game is pretty fun! I think the flowchart aesthetic looks really nice.
I played the demo and decided to get it a few months ago during the steam summer sale, but then it went free on amazon like a month later lol