The first thing to note is that wingspan is determined by both your clavicle and arm length. Measure your bideltoid width and it should give a rough idea of whether or not your clavicle is below or above average length. It should be ~43 cm given your height. If your measurement goes 40cm and below, it may as well be your short clavicles. But this is easily affected by muscle mass on the shoulders, and you've stated that your arms look short in the mirror, so your problem is probably short arms. (clavicles could still affect it though)
-4cm ape index is within the normal range, but I think going a little further than that will give you the T-rex arms look. The absolute limit is -10cm, and even then it stands out for most people. With your current arm length, I would suggest you go to 175-176cm. You can do this in one surgery.
If you want to go to 180cm, get humerus lengthening, 3.5cm per arm. Then, get a second surgery (tibias perhaps). But, overall being tall trumps having proportions. You will still look somewhat shortish in the arms but it should be fine. Measure your forearms as well, so you know how much to lengthen in the humerus. 0.81 is avg fa:humerus. Don't go too far from that.
If you're worried about compounding too man risks with arm lengthening, then I think you should stick to one conservative lengthening.