I want to encase an ice sphere with an edible liquid flavored coating (for cocktails)

I am trying to figure out how to drop an ice sphere into an edible flavored liquid that directly solidifies into a perfect spherical coating over the ice. So that when it’s dropped into a cocktails it will slowly melt and give flavour and temperature regulation to the cocktail

Something like this?

https://www.smuckers.com/ice-cream-toppings/magic-shell/magic-shell-chocolate-topping

Something like this - is what I’m among to do

Welcome, @AstroBar !

The easiest way is to freeze the edible flavored liquid in spherical molds.

For the way that you describe successfully work, the sphere of ice should be sub-frozen to a temperature low enough to force the liquid in contact with it to freeze, rather than melt the surface of the sphere.

Because of that, the edible flavored liquid (water-based mix, I assume) must be also cooled to near its freezing point, which is normally a lower temperature than for water.

Spraying the liquid over a rotating ice sphere should avoid heating the ice on a mass of warmer liquid.

If you're going to do this repeatedly, maybe make a silicon mold to hold the ice sphere in place while you freeze the outer shell. Like a two piece hemispherical mold. Then a second step to fill in the support pedestal for the ice center. These molds are pretty easy DIY projects. There's lots of YouTube videos out there (many of which never seem to have heard of mold release; aka soap or oil film, if you don't want to buy the real stuff).

https://www.tapplastics.com/product_info/videos