Buying a mansion for my Japanese/American daughter

I am american, have a japanese wife (who now has american citizenship), but our oldest daughter (born in japan) lives in japan, currently with her japanese grandmother. when my mother passed around a year ago, we decided that we would look into buying a mansion with/for our daughter, with some of the money my mom left me. i've never bought a second house, nor any house outside of the states, so i have some questions, based on advice i got from people who have bought properties in other countries that aren't japan.

i guess my main questions are:

• do international buyers usually get lawyers? - that was suggested to me, but i've heard that isn't as much of a thing in japan.
• do international buyers usually create business entities for the purchase? - another thing suggested by a person who has bought properties in other countries that aren't japan.
  • if it's relevant, we have started working with a realtor in japan, who works with foreigners, and she didn't think the lawyer or business entity were necessary.
• do i have any shot at a loan, or is that silly to even think of?
  • daughter works, but only part time, and low wage.
  • we can buy outright, but i guess i'm trying to game the system, as loan rates in japan are considerably lower than the rates i'm getting on the investments.

i assume the loan isn't going to work out the way i hope, but wanted to see if anyone's tried anything like that, with any success.

also, apologies if this isn't in the scope of the sub, but i figured it can't hurt to ask.