i have enough tools to buy either and i have them both built. which is better
If i remember correctly the INN goal is before school so you may end up taking longer if you build the school first and trying to collect mats again.
P.S. You will need the INN to make materials to do the some of last school teacher goals. But will also need the school also to do 7 days worth of child collecting bonuses. Longer you have the INN better chances of getting the very hard to get pillow??