I don't expect a huge explication necessarily: Harry will just realize that a certain degree of self-consistency and pre-commitment will let him resolve paradoxes that ordinarily result from time travel.
TDT is a major focus of his academic work. And AI is already covered (Harry's ballooning capabilties and pseudo-superpowers once introduced to magic represent the nigh-magical capacities a FOOMING AI should have) so TDT could come next.
My first question was for literary reasons - I don't expect TDT to be involved in any significant resolution unless it has been at least mentioned in the text previously, prefereably with some explanation.
I'm not convinced of the analogy to AI-FOOM. Harry's capabilities and pseudo superpowers are the result of intelligence and rationality applied to magic, not of recursive intelligence amplification giving far greater levels of intelligence. It has been explicitly said somewhere that AI will not be involved in the resolution, so I'm not particularly worrie...
Evidence: