When I paste a design from Make, I have only the frame

Yeah, that's a known limitation with Figma Make. To paste or use generated designs properly, make sure all elements are inside a frame (or made into components). Loose objects often result in just the outer frame pasting. Group them into a frame first and try again.

The thing is that it was working before and stopped working 2-3 days ago. I created a ticket.

I created another Make design and this time I was able to paste it. Weird,

In other words, I have 2 Make designs, one of then I cannot paste.