Would this megastructure work?

Think basically a Jupiter brain (a megascale computer made from a gas giant) but with a Dyson shell surrounding it to act as a threefold nutrient/waste exchange (assuming it repairs itself and adds to its own mass in a manner analogous to "eating" in the loosest possible sense), heat dispersal mechanism, and habitable surface. The interior would consist of your typical gas giant planet or brown dwarf with a solid molten core kept locked in the center of the shell by a strong electromagnetic field.

Could this structure be feasible as a megascale computer that's also habitable? What difficulties would the creators of this computer face when implementing this design?

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Would this megastructure work?

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