there were actually gridseed that cna mine both litecoin and bitcoin, by using scyrpt and sha256 you can switch between the two, but it go without saying that it is not profitable
I used to have a gc3355, but i only mined scrypt coins with it, the power consumption when mining sha256 was to much...
That being said, the OP never said which miner he bought... If i'm not mistaking, there are also scrypt-only usb block eruptors, albeit they seem less abundantly available than sha256 usbsticks (but i do remember seeing them on alixpress once)