Your Tree is similar to what Monrovia is selling as Brown Turkey,wich is a very good fig for dryer climates as ,in south west,and even south where by the time the Hurican season starts,this fig has allready ripened all its fruits.
They are 5 weeks ahead of me and about 6 ahead of you.
Till start of Huricane season ,the weather in the south is very hot and dry,and figs get ripe fast.
For us is not too good because it starts getting ripe fruits exactly when Huricane season starts wich brings us a lot of rains too.
Those rains affects all figs with large eye,no exception.
Hope this will help

Thanks for your posting Herman, i just have a hard time having a tree not knowing exactly what it is, and ive read yours and others posts about how randomly giving a tree a name or how some nursery's mislable there tree's it stinks that it happens. It will remain unknown so there never will be confusion on my end when i send out a cutting to someone, who then in turn might send 1 out to someone else as i can see how it can get worse and worse with these cultivars.
Best Health
Martin