Are games purchased on Origin still able to be played?

I bought Dragon Age Inquisition a long time ago. I can't remember much about when, but I used whatever EA's thing was at the time, I'm thinking Origin, and I bought it through there. When I go to the ea app, I can see the games I've purchased. I installed Dragon Age from there, but every time I launch it, it launches the Epic Games store, as if to verify the purchase. But I don't own the game on Epic, so it just kind of fiddles out into nothing, and goes back to the epic library. I've tried reinstalling all apps, updating drivers, 7 different solutions from semi-related forum posts. But no matter what I do, the game will not launch. Epic just pops up. I even uninstalled Epic, and the app tells me I need to DOWNLOAD Epic, and errors out. What the heck is going on? Please help. :(