Thickening these Petal Tips

The Petal-like tips of this shape slim down to a radius measuring 3/128ths of an inch. Not sure how best to thicken them to 1/8 or 1/16".
Suggestions welcome. On Rhino 7 for now. I’ve uploaded the file in case anyone wants to take a crack at it.


ThickeningPetals.3dm (1.2 MB)