I doubt Egypt wants any part of that.
Heh, this is one time I agree with you. While it may play word games regarding the Palis, Egypt is an enemy of Hamas. Egypt is certainly not going to help Hamas or let them (Hamas) set up camp in Egypt. Biden is even more delusional than I thought if he thinks Egypt has any sway over Hamas.
Qatar? Well, they could always threaten to expel Hamas’ leaders or expose them to Israeli agents. But I think Qatar is too invested in being the weaselly middle agents to do that.