I uploaded a PNG file to use as the profile picture for my GPT. It updates properly when I am editing and if I save it privately. If I publish publically, however, the custom perofile picture is lost. The uploaded picture is still saved with my GPT definitions because I can go in and ask for it to be set again, but when saved again, it is not updated.
Here is the link and the image that should be displaying
You don’t lose it forever - you can have the GPT generate a new one and change it back instead of using the custom one. But it certyainly support custom images as well.
Same problem here. If I use DALL-E to create the image it sticks. Uploaded images will stay for a while; but after a bit of time they vanish, leaving the “broken” image as the profile image.