Per https://www.dmv.org/vehicle-history/vin-decoder.php, you gave us the Impreza chassis number, not the Outback. These were manufactured in Japan, which it says on the label you photographed:
Decoded VIN: Make: SUBARU
Manufacturer Name: FUJI HEAVY INDUSTRIES U.S.A., INC. (C/O SUBARU OF AMERICA)
Model: Impreza
Model Year: 2005
Series: RS
Vehicle Type: PASSENGER CAR
Plant Company Name: Fuji Heavy Industries
Body Class: Wagon
Body Class: Sport Utility Vehicle (SUV)/Multi Purpose Vehicle (MPV)
Doors: 4
Transmission Style: Manual/Standard
Transmission Speeds: 5
Drive Type: AWD/All Wheel Drive
Displacement (CC): 2500
Displacement (CI): 152.559360236
Displacement (L): 2.500000
Seat Belts Type: Manual
Front Air Bag Locations: 1st Row (Driver & Passenger)
If you wanted the turbo XT engine, you want a code EJ257 engine (2.5 litre, DOHC 16-valve turbo).