OK first, where did you obtain this MBP?
So it had the beer spill and it sat w/ the battery connected since last October until you got it? How many attempted start ups?
If there were too many start up attempts then it might be dead not recoverable.
Where is the corrosion located on the logic board. Near the CPU, GPU or any other large chips. Ones with a tiny gap between them and the logic board less than .1 mm.
So it's a judgement call whether to attempt resurrection. Too much corrosion to large chips, too much corrosion in general, too long on the battery, too many startup attempts - don't bother.
To remove the beer, vinegar, soak in ultrasonic bath for around 5 hours - dead guess.
Then soak in deionized water and small bit of detergent (Like Dawn no perfume.) 10 hours again ultrasonic would help.
Then multiple rinses in deionized water 5 hours each.
Blow dry w/ compressed air.
Dehydrating oven for at least 24 hours.
Don't know where you'd get a dehydrating oven. Had one at the lab in Chicago.