From your response, I can tell that you too have not grasped the importance of the PJ getting Carlos to explain to Kate the maximum sentence for body disposal.
Simply repeating the word deal does not match the facts nor does it change the truth. The law states the maximum for body disposal is two years. The PJ does not determine the sentence, something Carlos must have been aware of. So there was no deal, and McCann propaganda on this was refuted by Kate's lawyer.
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Of course there was a deal (at least offered).
Kate says so in her book.
Mark Harrison makes abundantly plain that he was tasked
by the PJ to investigate that Madeleine had been
murdered, and did so.
The culmination of a
murder enquiry was that Kate and Gerry were made arguidos, accused of
murdering their eldest daughter.
Arguido status, as we know, stops just short of actual charges being brought, and the arguido status was rushed in just before a change in Portuguese law that would have required the PJ to justify their grounds for the arguido status.
Why do you accuse Kate of lying?