Do I risk losing my Crypto if Robinhood goes Tits up?

Okay hear me out. I have used Robinhood for most of my Dogecoin purchases and have about $5k on the platform. Yesterday, I noticed Robinhood shares tanking more than norm and looked into why. They seem to be bleeding money and now have just laid off 9% of their staff before earning come out tomorrow. Not a good look. In addition to yesterday, today the stock fell below resistance of $10 per share into the single digits. This has me alarmed of what could happen to my Doge if they do actually go bankrupt. FDIC only covers stocks not Crypto. Is it possible that I lose my Doge on Robinhood if they go Tits up? Also, does anyone actually see this happening? I’m contemplating selling or moving exchanges.