hi oldman
anatomy is a hunting skill, engineering a crafting skill and geology is mining.
You dont have to do all 3 to gain skills for mentoring. They all count.
This is a real cash game made to let you lose. Thats how we pay the company. You will probably lose in all professions. So in economic ways its best to stick at one profession, or maybe two, depending on your depositor behavior.
Stay away from crafting. You have to do 1 succesfull craft if im right for mentorship. Do no more crafting in a long time. Crafting is a moneypit if you dont know exactly what you do.
Skillgain is not really related to level. It looks like it but it isnt. Skillgain is pretty static (tt value). You only need more skills at higher level to level up.
Skillgain is more related to what mob you shoot. Wanna skill fast, hunt big mobs but lose your ass off. Efficient cheap skilling is done at small mobs with few hp. watch the loot carefully and try to use markup to make your hunting cheaper. If loot is bad, stop, it wont be better usually. (best rule in game to prevent big losses) Loot isnt totally random, its caught in time frames that are not easy to see and hardly predictable but they are there.
Equipment used wont give you more or less skills imo. But the type of gear will determine what type of skills you get. (laser weapons give laser skills, sword use gives longblade).
btw, cyrene is one of the best skilling planets in the universe.
What you mean by off planet for skills can be the repair option in space. Thats no more like it was if im informed well. Nothing to get there anymore.
i would suggest to use hk110 or si scorpion, depending on your preference for handgun or rifle. Handgun is more economic, rifle has more range. If you have budget buy a omegaton a101 amp. Follow up guns on si scorpion and/or hk110 are ozpyn chon and ozpyn LR. Cheap, more dps and great eco with omegaton a101 amp. Also great rifles are the xent tech light rifle x2 and x3 with omegaton a102 amp. But better use them maxed. That means you have full skills for it.
in description of gun it should say: Learning period: not anymore.
you could also do mining but cyrene is tricky in that, so i would stick to hunting if you like that.
so for mentoring it doesnt matter what you do, as long as you burn peds. so try to stick with cheapest options if you wanna play cheap.
if you wanna rush it no matter the cost i can give you another strategy.
good luck