A/C compressor shuts off until engine is shut off and restarted. then runs for about 10 minutes before it shuts off again. When the compressor is running, it produces cold air (all vents)
The AC system needs its pressures checked. It may be over-filled (c’mon, admit it if you added refrigerant from one of those DIY bottles!) or it may be under-filled and freezing up.
It may be over pressurizing for several reasons. AC problems are not really DIY friendly. Take it in!