What would be a reasonable offer to make on a 2005 Subaru Impreza STI?

First I'll start off with the basics. It's a white 2005 STI sedan with 115k miles. KBB says this STI is worth $14k in good condition from a dealership, but it's in very poor condition. I'll just list the good and the bad so it's easier to read.

THE GOOD:

-Perrin front mount intercooler

-Possibly upgraded turbo (coudn't tell, but felt like it)

-Cobb intake

-Mishimoto radiator and reservoir

-Invidia downpipe

-HKS hi-power exhaust

-Fully adjustable coilovers (couldn't tell the brand)

-Pulled incredibly hard

THE BAD:

-It has been in 2 accidents according to CarFax

-Has sat through 2 hail storms over the past 5 months

-Battery was completely dead when I went to test drive it

-Tires are shot

-Interior was extremely dirty and stained

-Every single warning light was on in the cluster; ABS, Cruise, Check Engine, Brake, literally every error light was on, not joking

-Car seems to not be tuned for the parts it has

-Car would randomly stall at speed if you let off the gas

-Transmission or the differential was clunking, or it was possibly the suspension

-Transmission seemed to whine and clunk at low speeds

So in the end, the dealership told me they didn't want to bother fixing the car because of all the problems, and they're sending it off to auction in a couple of weeks. They told me to make them a cash offer. The car needs a lot of work, but I'd love to have it as a project, and I'd hate to see this car go to waste. What should I offer them?