Sounds like you are losing boost out one of your boots. If so, this was just recently discussed here:
Power loss/hesitation only up hills while towing
Since you have an 05 can you tell us what your boost gauge is doing when you lose power? What is your boost at normally when pulling hard up a hill?
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2004 F250 CC FX4 / 46g Transfer Flow / ARP Studs / Coolant Filter / CCV
2004 Surf Side 30' pull trailer
1999 Pontiac GTP modified
1968 Pontiac Firebird (restored)
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