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brzcui
The shops your using dont seem to be doing good diagnostics
Diagnostics is npre than just reading cel codes and randomly replacing bits baeed on cel codes.
They need to log ecu fueling timing, port and direct injection times afr closed open loop fueling knock etc to work out whats going on.
Also trying to diagbose anything without acces to the ecu tune is going to be difficult as different tuners do things in different ways and if its ecutek it add functionality to the ecu via custom maps or speed density tuning.
Often port injectors are changed and MAP sensors changed when tuned for forced induction these changes need to be mapped into tune or car will run like crap.
Other common issues are intake and exhaust leaks, thes can often be deteced by logging ecu parameters like fuel trims or manifold pressures.
Also check the Direct injection computer is securly bolted up to side of engine will all three mount bolts that its only ground\earth.
Your going to need to take it to a shop that is familiar with brz\86 forced induction its unlikely any other shop will be able to help the shop will need diagnistic and logging tools for brz\86 and the tune system possibly ecutek that the car is tuned with