I want to use her equity as a gift for the down payment to avoid capital gain taxes.

Furnished Finder means you will need to have more interaction points to process them and collect payment--- does not mean it's a bad option, but there is less automation involved.

Extensions are likely granted, if needed.You will receive $3k relocation assistance at the end ( unless you have other liens, back due water/sewer/HOA etc. ) You can also stay in the home until the sale closes, which gives you at least a few months payment free to be able to figure out where you will relocate.

Fair Housing may not apply to you, but you should know for sure if you intend to deny their request.2.

And it is so stupid to not advertise every way and time possible, right?

As I am considering my offer, I am trying to understand how much to budget for attorney, title/closing costs etc? 

Probably got $100 more per month for rent.

Quote from @Faysal Alam: What banks or credit union can I use to refinance a car under my LLC name , my car is a 2023 Tesla model y performance , I owe $42,500 on the car , I’m looking to refinance the car under my business , my business was established 03/2023 .

Let’s project realistic expense estimates via the 50% rule:$12k rent / 2 (50% rule) - $19332 P&i = negative $13332/year or negative $1,111/month.  

Do not borrow fund for a down payment when you don't have any.