Intelligence is able to act contrary to the laws of STEM. How can it therefore be part of STEM?
No STEM, no existence, no intelligence.? I think you have it backwards. No intelligence, no STEM, no existence.
Without intelligence to interprete the sense of hearing there is no sound, only vibration. Without intelligence to intrprete the sense of sight there is no light, only rebounding of energy off of matter. Without intelligence to percieve temperature there is no hot and cold, only variance of energy. Without intelligence to percieve being there could only be movement of matter, for the matter that makes up the form of an intelligent being is still in motion when intelligence ceases to be the driving movement of said matter, therefore I would say existence is linked to intelligence.