Bmw 2003 760li high pressur fuel pump!

Bought a pristine black/black 2003 760 with 20,000 miles on it. I drove it home from Cali to Vegas and after getting on it the check engine light went on saying "service engine soon". I immediately pulled over and checked the car. Discoverd red service items for plugs, cabin air filter and coolant flush. drove it home and it sputtered at times. Took it to my mechanic who tells me the high pressure mechanical fuel pump is bad. After researching this board it appears to be a common problem with this car. I had the smartz to purchase a fidelity warranty. My mechanic wants 5 hours to install the pump AND $3200 FOR THE PUMP! The dealer wants $2800 for the pump. Anyone have this covered by a Fidelity extended warranty plan?

comments please!

Thank you