ShellShock Live. Fits every one of your criteria.
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ShellShock Live.
I bought it and returned it. I'm being very picky here but I didn't like the idea that a lvl 99 player can just massacre lvl 1. I think that's why a lot of people were playing the rebound mod which is more random and levels the playing field but it's also very long. I would prefer if advanced players had it more difficult, not easier.
Easy but complex, free, short sessions? Sounds like a job for tetr.io
Have you played 'Vampire Survivors'? Rounds last at maximum of 30 minutes Easy to learn, but there's a lot of content to keep you occupied It's $5 but it goes on sale often
I'd recommend Borderlands 2. It runs beautifully even on Intel HD4000 and it's less than $5 on sale. It's much better with friends, but I've enjoyed most of it by myself and absolutely love it.
You may also try Hero's hour and Death road to Canada.
If running it on proton is an option I would recommend outer wilds. Fantastic in every aspect!
Your Only Move is Hustle - Basically a TAS Fighting game, the game plays like chess meets a fighter game, you preselect moves at the same time as your opponent, then they play out. Sounds super simple when explained like that but there are so many complications to this basic formula (cancels, bursts, DI, parries, to name a few), that it is actually very interesting.
Omega Strikers - Air Hockey meets MOBA, although the game is dying a little, but the devs are still active and they just released a new character, their design never disappoints and the OST is fire.