Hi,
With a more recent pic, it would be better. Because as the tree is, I wouldn't cut anything.
Just let it grow and fruit for you.
The middle portion of the tree is a bit crowdy and you could cut one or two stems to space the remaining stems and then cut just under the top 3 stems to remove the leader and keep the tree smaller.
But really for now, I just wouldn't cut anything.
Once a fig tree has been cultivated in a tree form, it is less likely to send root shoots.
If you want a bushy tree, take cuttings and raise them into a bushy tree.