my collegues insist on get the AC always on
This mean you will be unlikely to convince them to turn it off. Replacing an AC would be a company expense that the company is very unlikely willing to pay for. However, if you do wish for that to happen, you'd need to take it up with your manager/boss. Expect to have your request denied though.
If you still think you can somehow convince your co-workers you'd need to talk to them separately. Asking your boss/manager to turn off the AC to save money or resources is not going to sit well with your co-workers, so don't do that unless you don't mint a hostile environment to work in. Instead, try to find common ground where both you and your co-workers can be happy with. Possibly set the AC lower.
I would say that it would be much more likely that you would need to find other options to cancel out the noise instead. For example earplugs, headphones, etc. And moving to the other location could also work obviously. But these would be your options in case that new location has the same issues.