You will notice that we use the sign NONE instead of perhaps signing NOT HAVE or HAVE NO (which is a typical mistake ASL students might make). We use NONE because this sign is thought to be the opposite of HAVE, in a way it means HAVE-NONE. It would be grammatically incorrect to sign NOT HAVE or HAVE NO.
Notice how Zoée topicalizes the statement by signing COFFEE first while raising her eyebrows then signing NONE afterwards. You can also sign this using a standard simple statement structure which would be SORRY NONE COFFEE.