All intakes available for 13 and up are actually short ram air intakes and even those with heatdhield will loose power when hiod is closed due to higher air temp - car will pull timing.
Stock intake is actually CAI, just get a filter for it.
Stock intercooler is good up to 400whp, keep it.
Before tune, its beneficial to have turbo back exhaust - drainpipe + exhaist. Not sure if you have stock downpipe. Also new plugs with smaller gap.
Best tune for your car is Alphaspeed - go with custom tune. Lap 3 - you will eather leave some power on the table or blow up your engine - turbo cars should be only custom tuned to be safe. Plus Alphaspeed will get you alot more than Lap can do ... pops and bangs, lunch controll...
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13 Genesis Track - MagnaFlow exhaust, test pipes, midpipes, custom CAI, LW Pulleys, Koning Oversteer rims, Stance coilovers, carbon fiber grill, front lip.
06 Outback 5spd - Winter muel.
14 Explorer 3.5 TT - Kids hauler with 18psi of punch.
03 Tiburon V6 custom T4E turbo - Ex mistress ...