Hi, I am Dave, I will help you with this.
Most likely that recording cannot be recovered, the Snipping tool does not have an auto-recover function, but if there was a temporary version of that file saved, it will be in the folder below, in File Explorer, paste this into the address bar and press Enter
%LOCALAPPDATA%\Packages\Microsoft.ScreenSketch_8wekyb3d8bbwe\TempState