Even if you’re not into classical, studies like Mauro Giuliani’s 120 Right-Hand Studies (for guitar) or Hanon exercises (for piano/keyboard) are gold for dexterity.
These tutorials cover the first 20 of Giuliani's 120 Right hand Studies for classical guitar.
https://www.guitartricks.com/tutorial/330/
https://www.guitartricks.com/tutorial/354/
I'm not sure how much Hanon's piano exercises would help for guitar playing. It might help with overall dexterity. On the other hand, it might be more beneficial to spend that time playing guitar if that's your goal.
Either way, I'm pretty sure that playing the Escape Road video game you linked won't help much at all.
Christopher Schlegel
Guitar Tricks Instructor
Christopher Schlegel Lesson Directory