Do you think there's a problem? I don't really see one, except that I'd prefer "no matter which path" to "no matter what path," but the latter (your original) is common enough.
Both be lost and get lost are correct, but mean different things. If taking either path will cause you to become lost, you will get lost on either path. If You were already lost before you came to the paths and taking either path will not make you un-lost, you will be lost on either path.