How to Add "Bezier" type point to curve at mid point

I have an polygon which i’d like to add a single control point to the mid point. One that is adjustable with bezier type handles. I tried insertpoint, insertknot, but they are sharp points.

then i tried changedegree “3”, but that added two points on either side of the midpoint. i know this isn’t like illustrator, but i’m sure there’s a way… please guide me.

thank you!

Hello- ChangeDegree to 2 to get the middle control point, but you do not get ‘handles’ like AI

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Many thanks!! @pascal