I know someone personally who got cancelled, went to his home country and changed his passport. He then went to the qatari embassy in his home country and got a tourist visa, and is now back in the country. Needs to go on visa runs now and then, but he is back.

But it might be more difficult depending on your nationality. Because I know people from other countries, that were not able to do the same trick.

But once you go back to your country and change your passport, and also the embassy approves your visa, at that point you can get back into Qatar for sure.