My driver’s license says “HAZ”. Without looking up a definition, I would say hazel is not a color, it is a pattern. Like calico for cats or brindle for dogs.
Looking up the definition, I see:
Merriam Webster
“adjective – of eyes : of a variable color averaging light greenish-grayish brown”
Oxford English Dictionary
“noun – The reddish-brown colour of a ripe hazel nut, or (now more usually) a greenish-brown colour, especially as an eye colour”
“adjective – Reddish-brown or (now more usually) greenish-brown; of the colour hazel”