... as the MP? I mean, I haven't really heard about the last two. And I'm assuming you mean Chakra from Naurto, in which case you could either do as the MP or two pools of Yin and Yang Chakra (though we never really see the effect of the different chakras in the series, or at least I didn't.)
Yin chakra is what's used for Genjutsu, and the Kagemane Jutsu, and possibly for the Yamanaka's mind techniques. Yin chakra is more or less about "creating shape", unless I remember wrong.
Yang chakra is about "breathing life into the shape", A.K.A, making the illusion real, which I suppose explains how Naruto was able to turn into a shuriken for Sasuke to throw, and by my theory, it's also used for the Akimichi's size-aötering techniques, and heavily tied to the Mokuton.
See, the idea in my head is to make CP bar, and the formula for CP is admittedly a bit lazy (Vitality+Strength+Intelligence+Wisdom), although I am kinda planning an alternate version of that formula (HP+MP).
I at one point considered doing a Pokemon gamefic, and decided to give each pokemon a pool of PP or each type of move it could use (Normal, Rock, Steel, Fighting, etc) rather than each move individually. This simplifies the problem of tracking all the different PP a bit, and makes a bit more sense in-universe as well.
Alright, so got a formula for that?
Funny thing is, I don't believe that "regular Gamer system" exists. The closest thing is what I call "Gamer system that's overused because everyone blindly copy pastes from that one manhwa or other fanfic".
Dude, the reason why most people use it is because most Gamer stories are situated in a world where the one from the Manhwa works, I.E, the RPG version, although personally, I would remove Luck as a stat that you can upgrade by doing some trivial task, like flipping a coin and calling it right.
Giving a Gamer in a shonen sports series mana and mana related skills would be like giving a Gamer in Naruto mana and mana related skills.
Aah, no, no it isn't. Naruto characters, more often than not have something that balances Magic out, or rather, in their world, nobody would bat an eye if you suddenly used a magic skill, like say, shooting a blast of fire, or creating golems from the ground.
In a sports anime, even a shone sports series, doing that kind of shit would get you off the playing area faster than you can call "bullshit".
Personally, the only Shonen Sports series I can tolerate, and not balk at, is Eyeshield 21, and you know why? Because in Eyeshield 21, the "special moves" aren't some magic stuff that would be right at home in a proper shonen fighting series. I mean, seriously, if you can sprout wings from your back, fly up, and launch a bolt of lightning by kicking, then why even bother with the sport, just fight.