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Achieving the very special condition of perfect absorption (PA) in a complex scattering enclosure promises to enable a wealth of applications in secure communication, precision sensing, wireless power transfer, analog signal processing and random lasing. Consequently, a lot of recent research effort was dedicated to proposing wave-front shaping protocols to implement coherent PA in a complex scattering environment. Here, instead of shaping the impinging wave front and tuning the system's attenuation, we propose the conceptually different route of solely tweaking the randomness of the complex scattering environment in order to achieve PA. We provide an experimental proof-of-concept in the microwave domain where we tune the randomness of a three-dimensional chaotic cavity with a programmable metasurface. We systematically investigate the achievability and extreme sensitivity of the PA condition. Our technique can impose a PA condition at over hundred distinct frequencies within a small frequency band, which allows us to propose and experimentally demonstrate a concrete practical application: receiver-powered secure wireless communication in a complex scattering enclosure. Our fundamentally new perspective on PA is applicable to all types of wave phenomena and our results foreshadow the large potential of this novel tool for minute wave control in sensing, communication and energy transfer.