Fuel rail
My 06 lbz did the the samething. I shimed the rail then put a race plug in and neither fixed it. The driver side rail was bad I fixed it and have put 70k mile on truck since. To check it for sure pull the hose off the back of the driverside rail and run fuel pressure up you will see if the releaf valve is bad in about 2 sec. I have a hot+2, 3000 turbo, 95 Fass , ATS coplit, and precision converter.