A/C only has two settings: off and too cold. Some people like too cold though. And a nice vest fixes the problem. I don't actually mind the ambient temperature being low as long as I can keep warm.
The consistency with which office aircon can be unfit for purpose is astonishing.
Fingerless mittens are one option, and while they don't cover your actual fingers, just warming your hands up helps a lot. I can still type and use a trackpad just fine with them.
If you don't need to use a touch-sensitive device with them, the really thin, lightweight gloves that are meant to be a layer underneath a heavier pair actually work great. I can work in them as normal and only give up a little bit of my normal typing speed; not enough to be a hindrance when doing software development since typing speed isn't the bottleneck anyway.