If you buy a pound of fresh California BT from Costco,or Sam, BJ, or other store that sell fresh fruits you will find out why your fig is CBT.
I had ,a few times ,but no more because they harvest fruits half ripe so no full flavor.
English BT is not purple ,is Just that,
Brown ,orange on outside ,and light pink inside.
Your fruit looks nothing like the true English BT above.
And here is ,typical California BT fresh fruits for sale,as advertised:
Of course they are half ripe ,when ripe they are purple all over,unlike English BT.