I'll be really honest with you: Nobody much counts pieces of vocabulary ("moves"). The longer you dance and study dance, the more you'll realize that it all blurs together.
You can group movements into broad "families": walks (in every direction, and including corridas, lane changes, system changes, crosses, traspiés, etc.), open-step movements (mainly cunitas and alteraciones), ochos (back, forward, contra, loco), foot play (paradas, mordidas, barridas, etc.), static pivots (calesitas and ruedas on one leg, two legs, or changing legs), unweighted leg play (touches, amagues, patadas, boleos, etc.), invasions (entradas, sacadas, empujadas, etc.), entanglements (ganchos, enganches, piernazos, etc.), turns (walking, pivoting, mutual, progressive, cadenas, etc.), colgadas, volcadas, saltos, soltadas, and so on. You'll immediately notice that each family is large, and that each member of that family has variations and is its own family; sacadas alone could fill a book. You'll also immediately notice that you can change the direction, orientation, side, foot, system, size, speed, and/or dynamics of a lot of this stuff . . . what foot is doing your forward sacada, what foot is it targeting, how close is it landing, how deep is it going, how much impulse is it providing, and what step is it driving (not always a turn)?
Eventually, you'll also learn that your families aren't somebody else's ("Noooo! A cadena isn't a turn!"), and that some steps cross families (is a pulpeada an invasion or an entanglement or what?). You'll have endless fun arguing about whether the Americana or doble frente are steps, walking systems, or what. And you'll run into ornaments that some people call steps, like the lapices and enrosques that decorate leader pivots in turns, which can in fact turn into steps if you weight them. I'm not even starting in on all the outliers from show tango, like lifts, drags, and other acrobatics.
And you'll get people combining specific sub-sub-sub-sub elements in specific ways and calling them simply "steps."
How do you count "moves" in that context? You really can't. I've never had a conversation with anybody who did.
My advice is to focus on classes on technique: posture, embrace, muscle engagement (especially the back and legs), quality of movement (especially in weight transfers), changes of dynamics, and so on. If you have that stuff, steps will invent themselves on the floor as a consequence of previous steps, residual energy, body posture (e.g., crossed or wound into a spiral), partner placement, floorspace, and of course music and emotion. Technique drives creativity. You can take it in reverse, learn steps, and then try to perfect technique afterward, but that's a low-percentage game, and it will always limit your dancing. If you really want to take classes on steps, take classes on the walk, which is the basis of it all.
I ditched group classes on steps just shy of 3 years into my tango journey, and have focused on private lessons on technique in the 10 years since, making exceptions mainly when either a friend wants me to take a workshop with her or there's a festival and the guests are people I admire. Interestingly, despite not taking classes on steps, followers comment, "Gee, you know a lot of steps." The secret is that I just do the thing that makes sense at each moment in the music, relying on technique to come through and invent something or other for me. Honestly, if someone were to ask, "What was that step?", I'd just shrug – and if they asked how many steps I know, I'd say, "A continuum."