Sonic's AD + the Emerald's multiplier will allow him to always be in the AP Advantage here, no matter what, and his quite absurd advantage in term of skill will allow him to swiftly take care of any Meta Cooler that comes his way, large number do not really matter much as Sonic is quite used 1 v soloing entire armies by himself, he has several options to immediatly neutralize any Meta Cooler that come his way if they by any chance become too much
* Very good acrobatics that would allow him to bounce between several Meta Coolers at once
* Ring Time allows him to instantly turn any Meta Cooler close to him into Rings for him to use
* Rings make it so that Cooler literally cannot harm him in anyway
* Magic hands would allow him to seal Meta Coolers
* His regen negation allows him to simply say lol no to Meta Coolers regenerating
* His passive restoration as he runs makes it so that any damage Cooler does manage to do to him be.....kind of pointless
* His power mimicry could allow him to copy Cooler's moves and use against him
* His speed amps would make him see all Meta Coolers as nearly Frozen in place + his ability to summon power sneakers to amp his speed even more + Rings amplifying his speed even more
* Outside of his stamina to keep fighting for 3 days straight, Sonic also has rings to passively heal him and regenerate his stamina, making sure that he does not get tired
* Has several forms of Time Manipulation to stop Cooler in time, slow him down, etc
* Using Water he can......become water, thus being in a state where Cooler can't really hurt him at all with physical attacks
* Using Avatar he can continuosly making clones if he ever feels overwelmed, and with Chaos Control he can not only stop time or BFR Cooler to get rid of all Meta Coolers if he feels needed, he can also use one of his clones for a double Chaos Control to go back in Time for his advantage
* Last Chance would allow him to revive in the eventuality that he is indeed killed
* Can use his Sonic Guard to create a purple shield that blocks even attacks that can one shot him, absorbing the energy of the attack to himself for the Ichiroko Gauge, which would one shot people comparable to Sonic himself, the Energy going up from taking attacks, blocking or healing himself
phew, with everything i listed above, Meta Cooler actually killing Sonic will be a very difficult task in all regards, so now all that Sonic would need to do is to find Core Meta Cooler and the Big Gete star to destroy both and get on with his day, due to SBA rules, Sonic knows what Cooler actually looks like, so he would know that these "Meta Coolers" are not the true dude he needs to beat, given his numerous options to evade, continuosly incapacitate, passively or not, all the Meta Coolers + His numerous "i see you as frozen" speed amps would allow him to eventually find the Big Gete star, as he would obviously keep looking for his enemy, at which case he has.......oh so many options to destroy Core Cooler or completely incapacitate him
it is more of a matter of "when" rather than "if" for Sonic to win, imo
therefore i vote for Sonic here