If it is line of credit, you are talking about a HELOC and not a closed end loan subject to Subpart C of Regulation Z and RESPA GFEs and HUD-1s. Buying a home for a child is personal purpose all the way.
If they want a personal line, you make them a personal line.
If they want a business line, you make them a business line.
You don't do both as you are not going to want to give them all the protections afforded a consumer under the HELOC rules.
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