The next-generation Skate is now confirmed to getting a PC release on Steam, so thankfully you won't have to deal with the EA App directly. It was already confirmed some time ago to be coming to PC (a first for the series), but confirmation that it will be on Steam means it should be nice and smooth to get running on Desktop Linux and Steam Deck.
News about it coming to Steam though only appeared recently in the below video from December 21st, which it seems went largely unnoticed until recently when the team also posted about it on X (formerly Twitter) to confirm it there as well with a clip from the longer video.
Also announced in the video is that it will have cross-platform and cross-progression play, good news for players (or if you have friends) across multiple platforms.
Technically Skate 4, it's just going to be called Skate. (the dot is included). It will be free to play at release, so I'll likely give it a go and report back on what compatibility to expect for Linux / Steam Deck.
We do have a few skating games on PC nowadays including Tony Hawk's Pro Skater 1 + 2, Session: Skate Sim, Skater XL but no doubt many will be looking forward to skate.