Asklemmy is not a support community, you might have more luck in photography related communities.
That being said, you basically answered your own question. Your integrated flash is either stuck or blocked. Hard to tell without seeing it in person. You might try to help the camera by carefully pulling on the flash while holding the flash button (on the left side of the camera body). Maybe there is some dirt trapped in the hinge. If you can get it open (please, please, please don't break the hinge), try carefully cleaning it.
But here comes the kicker: the integrated flash on most cameras is absolute garbage and I'd recommend you just disable it. There is a reason why high end cameras don't even have an integrated flash. An integrated flash is 20-30 times smaller than even the most basic external flash so it makes extremely hard shadows. (Edit: also, you can't modify the flash brightness and the flash is so close to the camera body that you may see the shadow from your lens in your photos) If you can afford it, buy a cheap external flash (I'd recommend one from Yongnuo) and a mini softbox that you can put on the flash. It will make your photos A LOT better for not that much money.
If you're interested, I can dig out my old 760D and take some comparison shots between internal flash, external flash without softbox and external flash with softbox.
Learn a language. Ad breaks are long enough for one or two lessons in Duolingo and probably other apps as well.