But I’d’ also ask if the girlfriend is a legal US citizen?

Double check your lease, all the legalities and still check with the landlord....

Purchasing the LLC gives you ownership of the property, but it also opens you up to additional legal exposure since the entity has been active, and there is no way to really know for sure what else they used the LLC for.

For your scenario, you would be able to afford $8300 monthly mortgage assuming no debts. ($200K/12 months = $16k/ month of 50% = $8333.

could it service the debt on $1m?

Make sure to get legal advice on what you can and can’t do for bill back and what kind of notice period is required in your state. 

When your LLC takes a loan, expect as members to personally guarantee the debt.

@Chris SeveneyNote not An attorney or providing legal advice

Their algo isn't sophisticated enough, yet, to accommodate natural disasters and inventory shortages so it's most likely responding to the incredible demand (and unaware of the legal implications).

After closing, work on increasing your income, reducing debt, and preparing for a second mortgage.