Does Geico provide Full coverage on Vehicles with a rebuilt title?

So here is the backstory, my dad is trying to buy a 2008 ford escape hybrid, it has 16000 miles and a rebuilt title, my only concern is if geico provides coverage on vehicles with a rebuilt title, because i don't want my dad to pay this much only to find out he can't insure it, and also, what should i do if we buy it, does the state of new york require me to inspect the car as soon as i buy it? Thanks
Ps; Please don't say anything like: Don't buy a car with this kind of title' because i know, its just its a cheaper option for my dad

Either you or Dad needs to call and ask the gecko

Generally no, since a rebuilt or salvage title reduces the fair market value on the vehicle by up to 50%, and most insurance companies will not alowl coverage beyond the basics.

But call them and ask to be sure.

You will have to ask GEICO. How can anyone here speak for them?

Ask Geico. I have never had a problem here in the UK getting insurance on our equivalent.

Normally a car handled as a total loss has the title submitted to the state DMV and they issue a "salvage certificate". Once the car is fully repaired and inspected by the DMV they take the salvage certificate and issue a "Branded Title"(Marked Salvage). If the car already has the branded title it has passed the state inspection for repairs. It is a good idea to check with your insurance before purchase. Most Salvage vehicle are serviceable but have a lower value than similar undamaged vehicles. It can be harder to sell them or trade them in.