First off, despite what computer science prognosticators are saying, at this point in time we just don't know if Artificial Intelligences will ever be possible. It hasn.t happened yet. The technology is advancing and the Singularity may happen.
So supposing that AIs are possible and that the 21st century in the BT universe mirrors our own then by the time of the Star League it should have been a centuries old mature science. We may assume that they interfaced with every facet of society. They would have been part of Kerensky's exodus and they would have permeated the Inner Sphere and the Periphery States at the advent of the Succession Wars. Could we not expect that in spite of the regression of Technology in the Inner Sphere and the social-political upheavals that swept throught the Star League in Exile that there would be numerous survivals of this technology.
There is the potential for AI entities to operate both on and off the radar. Comstar's Intersteller Communications Network could realisticaly have been the basis for an Inner Sphere wide internet during the Star League and aftwards could have shrunk to a diminished pool of privledged users. The Clans maintained their own HPG network. One of our current fears about AI is tht it could escape the laboratory via the internet and somehow reside there. Centuries from now, as a mature technology, that might be a very desireable attribute for this technology to be able to communicate itself. Jumpships, warships, jumpstations, and space habitats would likely have enjoyed an intrical relationship with AI technologies.