Ultimate Prog Challenge 2023

Given the function `f` defined as:
f(0) = 2
f(N) = f(N-1) ** f(N-1)

calculate `f(5)`

>>5
Ok, please compute in Haskell the number
2 ** (2 ** 66185228434044942951864067458396061614989522267577311297802947435570493724401440549267868490798926773634494383968047143923956857140205406402740536087446083831052036848232439995904404992798007514718326043410570379830870463780085260619444417205199197123751210704970352727833755425876102776028267313405809429548880554782040765277562828362884238325465448520348307574943345990309941642666926723379729598185834735054732500415409883868361423159913770812218772711901772249553153402287759789517121744336755350465901655205184917370974202405586941211065395540765567663193297173367254230313612244182941999500402388195450053080385547)