Object resulted from ParametricConvexOptimization[ ]?

Colleagues from the community,

I have been exploring the new function in version 12.2 and, in particular, the new additions for convex optimization.

The function ParametricConvexOptimization[] came to my attention strongly since it may symbolically solve optimization problems. However, I am not sure what kind of mathematical object it returns. Can someone give me an insight? is it a lookup table, an interpolation function, or an algebraic expression? Is it just a setup simulation that runs later when the mathematical object is evaluated for some set of given parameters?

The function works nicely, I do not have complaints about it!

Cheers

Jesus