Skinny fat to cut!

The most important component is the diet. Cardio is optional (but recommended). You definitely wanna hit the gym. Exercises like squat, deadlifts and bench press all require proper form to avoid injury. So ideally have someone knowledgeable show u how to do them, alternatively look up form on Youtube and try to copy with light weights. In general u don't wanna go heavy, do things right first, it's cringeworthy when people go heavy on the overhead press with the back super arched, just to name an example.
Pulldowns (or the harder version pullups/chinups) is a mandatory exercise in my book, so is face pulls. You can start simple with 3 sets of 10 reps. The most important thing is going to the gym, not what u do. You could theoretically just randomly use the machines and get good results initially, as long as you put in effort.

A routine could look as simple as this (but there's a million ways to do it):
Bench press 3x10
Pulldowns 3x10
Overhead press with dumbbells 3x10
Seated row 3x10
Leg press 3x10
Face pulls 3x10

Oh, and 3 times per week is right about the sweet spot when you're doing full body routines.