What is irreducible and not modelable by computation is what philosophers call qualia, the quality of any experience.
Memo Akten, Memo Akten on Rituals as Algorithms
The way I see it is that consciousness doesn't have a place you can pinpoint. Looking a lot at Michael Levin's work, I'm thinking how consciousness is in every cell; every cell can problem-solve.
Keiken, Keiken on the Worldbuilding Lens