Oh nice, one of my favorite characters (Sonic).
The video is cool (I've seen it before and wanted to do the fight myself, for reason I didn't, you'll see why), unfortunately, Makima gets washed no question.
Indomitable Willpower makes Sonic impossible to Conquest. I found it funny the first thing a Chainsaw Man supporter is basically "Makima conquest" when it takes one glance at Sonic's Profile to see Makima ain't doing allat.
BFR to Hell won't work. Sonic can simply run from dimension to dimension.
Makima summoning legions of devil hunters won't work. Sonic's
Passive Restoration handles this. It will restore the consciousness of all the Devil Hunters and thereby stopping Makima's
Conquest over them.
Bang doesn't work. Inferior LS and AP.
The Makima Stare

just gets ignored. Besides Sonic's Willpower will allow him to fight through it, Rings can absorb the damage (damage transferal), Sonic Heal negates the damage (bare minimum
Low healing), Wisp Capsules give him various forms of Intangibility, and Sonic has passive
Metaphysical Restoration.
This is not mentioning other stuff that will shut down Makima easily.
Precognition alerts him of danger, Sonic's
Spin Dash can unironically blitz Makima (Spin Dash blitzes people who blitzes the user in question, so it's two entire blitz gaps), Chaos Emeralds is an instant GGs. Yes, Sonic has this as Standard Equipment. Sonic can use the Chaos Emerald anytime he wants.
Makima gets killed by...literally anything Sonic does. You can pick anything on Sonic's Profile and it has a good chance of killing Makima. Any Wisps will do in permanently killing Makima past her Regeneration, no negation needed. Chaos Emeralds gaggle****s Makima. Spin Dash blitzes and pastes Makima.
As for how the fight will go? It all depends on Sonic.
First move Sonic does In-Character is close-quarters-combat. SBA means they start at 4 kilometers, which is not good for Makima. As he's running, Sonic's...literally everything (speed, strength, abilities, etc) is getting better and better. 30 seconds of fighting allowed Sonic to go from being out-matched to unironically Stomping an opponent who knows all of his moves and can infinitely combine the moves of everything Sonic's ever done + the movements of all his friends (Emerl). I'm fairly certain Makima just gets blitzed after Sonic runs 4 kilometers. Though, most of the fight relies on Sonic's in-character. He'll makes some jokes about Makima, basically taunting her (unironically she will get mad. Sonic's taunts worked on Metal Sonic, a literal robot, was angered by them). Since Makima will try to
Conquest Sonic and Sonic will overcome it, he'll obviously think something's fishy about her. This will only become more apparent when Makima uses her controlled devils. I'm sure it'll end the exact same as the Dark Queen fight, and if push comes to shove and Makima doesn't give up on her goals (Sonic has SI to talk to Makima), Sonic can gaggle**** with literally anything.
I would say "Sonic For Reasons Above," but Makima gets Stomped here. This is coming from a guy who genuinely looked for a fair fight between Makima and Sonic after seeing the OP's video many months back. Sonic either gets Stomped or Stomps Makima. No in-between.