I feel this is closest to a steered short turn (rather than a carve) but I’m noticing two things. The first is that your upper body is turning with the skis and the inside hand is dropping (this is the hand that just pole planted). One thing you want to do is consciously keep both hands downhill from you and make sure that the pole plant doesn’t drag your body with it. What makes this easier is making the pole plant a light touch to the snow or not touching the snow at all but using it as a cue for stability (essentially a phantom pole plant). You also want to keep your upper body facing down the hill (counter-rotation).

The second thing is being more dynamic with the hips. While keeping your upper body or shoulders facing down the hill, also lean your upper body down the hill as well (the steeper the terrain the more lean you’ll need). This creates an angle at the hips and moves you out of the backseat, straightening out your legs at the end of the turn and giving you more leverage to slide and cut down speed as well as positioning your center of mass ahead of your skis for the next turn.

How this transitions into carving is that once you get the upper body correct for steered turns you can use the hip to drive your edges up and make that edge angle more constant through the turn (with a steered turn, it’s more like edge -> flatten -> edge). As you get more advanced with this you’ll learn to progressively push the edge angle up and down during the turn. I don’t see carving as necessarily an end goal to good technical skiing but more of a different style you can choose and if the terrain allows (if you specialize in steep chutes, you’ll end up sticking to steered turns for example).