Hi Widget,
Are you sure it's 4 mm and not 3.96875 mm which is a 5/32 plug ,
https://www.ebay.com.au/itm/175711111509If it's 5/32 you may find a cheaper one than the one on the link as that was just the first one I looked at.
$8. for a plug you may as well spent a little more and get a complete carby if you can't find a cheap plug.
Cheers
Max.