How much past a great deal can I get?

I'm currently in the market for a new vehicle. I've
been doing my research on Nissan Titans. Now a
dealership near me has a "great deal" according to
all the sites, including car gurus, on a 2017 S Crew
Cab 2wd with 4567 miles, near me listed at $27200
with a clean history. Now it appears that it has
been sitting on their lot for 30+ days.

I was just curious if I could get a bit of a better deal
than that. Now I'm aware that they are not going to
knock $10k off or anything, being that they are
asking for bottom dollar, but do you think they
would maybe $1k off of that?

Thanks in advanced for any input!