I got this Umbrella Tree free on craigslist. It is/was very tall and a lot of the branches were damaged, so I cut them back to what you see now. I would like to cut the last three branches to a similar length, but I'm worried new leaf growth won't return since I would be cutting off the last of the green branches and leaves, and all that would be left is the thick grey bark branches. Would new foliage grow back after this aggressive pruning? I am new to pruning. Thanks.