As suggested a local repair shop might be worth a try for a cheaper repair.
One thing I always recommend for business laptops is accidental care. It may add a bit to the total, but if something like this happened it would have been repaired no questions asked.
I remember working in computer sales and having a particular customer come in to buy a laptop, I recommended the accidental care which they said they'd never need.
The next day they came in saying that their cat had ran into the cable and the laptop came crashing off the table. The screen and power connector was smashed as a result.
He was immediately out of pocket.
Anyway, at this point a local repair appears to be the best option. As the IT department didn't fully check when it went out you'd have a very hard time arguing otherwise.