Dynamic plotting of NonlinearSolve controlled by sliders in Makie

I want to solve a non linear problem which depend on 3 variables, each one of them being controlled by a slider in Makie and I struggle with that.

My non linear function takes an input number (the x coordinate) with 3 parameters (each controlled by a Makie slider) and outputs a number (a y coordinate), and I want to solve it with the NonlinearSolve library such that when I move my sliders my output (which is calculated by NonlinearSolve) gets dynamically changed.

Ideally, I would also like it to be able to solve the problem for multiple inputs at the same time (using NonlinearSolve in a vectorized way), avoiding to write a for loop and being more optimized ^^

what did you try?