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You'll have to experiment and see how it responds.

I am not sure how the Acacia type of tree responds to pruning.

Most conservative would be to trim the green leafy branches back during the growing season. Stimulate branches and leaves closest to the trunk to grow by removing parts further away. This is to encourage ramification (division of branches into smaller branchlets).

Another method is to trim all branches except the top. This will quickly cause the tree to grow a tall, thick trunk, with good taper. After a few years, when you are happy with the thickness of the trunk, you can saw the trunk, and hope for multiple branches to form from the cut, and remove any you dislike.

If the tree has a dormancy period, I like to prune off woody branches that are not showing signs of buds forming. I am working on a post to show how this was done on my conifer.

Many thanks!
I will try, it is interesting.