You're getting outside air up the ice chute past the flapper door that should seal. Shine a flashlight up into dispenser side and see if you can easily see it inside. THat flapper door may be damaged or not closing all the way.

Maybe, post your model #.
The rubber edges of the flaps can curl up and fail to seal. The solenoid that opens and closes it may fail or rust up also.
You'll want to address it because it will block ice delivery but it's an annoyance more than a major issue.

That uses a solenoid to open the ice door flap. You'll need to access it from the outside to see why it isn't sealing. Pretty straight forward to get to. I think there's release slots for the user interface panel to pull off. Under its bottom edge. After that part it's pretty obvious. You'll probably find that the rubber edges ofbthe flap are curled or the solenoid isn't returning all the way due to a rusted-out spring or rusted-out solenoid plunger.

If it is the flap that will need to be replaced. if it is the moving plunger of the solenoid you may get away with separating it from the magnetic part of the solenoid and sanding it clean so it doesn't hang up. If you do that code it with some sort of oil or grease to hopefully inhibit the future rusting process .

Neither part is very expensive here so it might be worth just changing those if they are suspect.

Good luck, it isn't difficult. I'm sure you'll find the issue once you can actually see it.

GE WR17X11653 Ice Door Assembly - AppliancePartsPros.com

That looks wrong. The whole black rubber piece is part of the flap.

It should pop off the arm easily so you can inspect it. It looks like it is closing fully in that pic so your solenoid is probably ok...
If the edges are curled or there's any way air is passing it I'd change it. I just go by the flashlight test. If I can see light shining down from inside or up from outside then there is a gap. If you remove the ice bin you can watch it in action without getting ice in your face.

Freezers are in a slight vacuum and will suck room air in. The moisture condenses out and freezes as that air cools. So frost in that chute usually means air is coming up it.
Compare it to a new one in the link.