Depends on the purpose. For stronghold functions, they’ll want a saw or lumber axe. If they’re just trying to put some torches together or make a shelter I’d say a hand axe is good. Fighting axes aren’t made for that purpose and could be used but I’d say with risk of damaging the weapon.
Interestingly, saws were not available during the medieval period (which I'm assuming we roughly approximate in the forgotten lands), at least not to common people. Axes were the main tool all the way through the early modern period. I don't know exactly why, but I suspect making steel at a high enough quality for saws was impossible or at least too expensive to the medieval blacksmith. Not that you have to be "historically" accurate or any gatekeeping crap like that, just fyi if you are interested.