What MX5 do you have? Perhaps a photo of the wheels and a close up of the rim and centre cap would help determine whether it is running genuine Mazda original fitment BBS’s, or they are from another car - BMW or VW maybe, in which case the info I’m giving you won’t be applicable.
Its a eunos roadster, definitely genuine it’s an import and everything is factory fitted currently.
I’ll give taking off a wheel a go or maybe ask the guys at mazda. I already looked for a touch up stick and they found that quite difficult as its an import. Think that’s why I’m having such bad luck finding parts.
I’ll take the centre out of one tomorrow and try and get some photos for you to use in your search.
It’ll just be a matter of patience I’m afraid.
Shame you weren’t looking a couple of weeks ago as there was an eBay seller with the right part, brand new old stock, selling in sets of four. Worked out about £10 each. I was tempted to buy them just for spares at that price!