Your fig,has fruits that have the shape of Madeira Black,and Preto,and much different compared to Col de Dame .
Fruits on Col de Dame are more elongated,and more turbinate compared to the fruits on your tree.
The Madeira black/ Preto is a much better similarity. Of course it is white but it must be there are white fruiting specimens of this cultivar too.
The leaves are variable,a little like Col de Dame ,a little like Madeira,i am not going to guess,looking at leaves.
The fruits are onion like and that is similar to Madeira,Preto figs.