It’s not the nozzle hitting support.
It’s the support hitting nozzle.
You have to figure it out in the other way around, instead of trying more and more z hop.
Post the 3mf file on https://wetransfer.com/ and generate a download link, so that more detailed diagnosis can be made.
But the quick thing you can try is to:
Increase support wall count.
Increase Branch diameter (reasonably, like from 2 to 3).
Reduce branch angle (e.g., from 45 to 30)
Increase Branch diameter angle (reasonably, like from 5 to 10).
Branch angle is the angle between two branches.
Branch diameter angle, on the other hand, is the “angle of increasing diameters from top to bottom”.
E.g., your top branch diameter is 2mm. Growing it from top to bottom by drawing a line 5degrees away from vertical Z axis. Then at the node of the next branching node, increasae 5 degrees, eventually you would get a stronger root.
You can also increase the tree wall count to make it stronger.