Speaking of Inconsistencies - When did Shrewd meet the Fool

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In the first book, Fitz speaking as a Narrator comments on seeing the Fool and how he had recently arrived to Buckkeep, but in the Fool's Errand (I believe) the Fool mentions that he had been looking for Fitz (his Catalyst) when he came to Buckkeep. In fact, the Fool says during that conversation that he had overheard Shrewd and Chade talking about Fitz and thus first learned of Fitz's existence.

So my question is . . . are these two statements inconsistent and if so when do you think the Fool met Shrewd?

Actually the fool said he came to Buckkeep to look for a Farseer, instead he found Fitz instead, a bastard but nevertheless a Farseer.
So the Fool had been at Buckkeep before Fitz arrived, and through the conversation Shrewd and Chade he learned his Catalyst had arrived.

Yes that is what the Fool said, but Fitz says in his narrator voice when he bumps into the Fool prior to going on his first mission (where the Fool tells him "Fitz fixes ____ fits. Fat suffices.") that the Fool was a recent immigrant to the castle.

By this time, Fitz had lived at Buckkeep for something like 5 years.

So again what's with the inconsistency? Or am I off-base?

Hmm so I did not recall that but I dug up the book and noted the first encounter Fitz and the Fool was when he was 10 eating under the Grand Hall table. When Fitz saw Shrewd and Regal, Fitz did say "The king's new fool, but recently acquired, pattered after them, pale eyes goggle in an eggshell face."

So it is correct Fool arrived to Buckkeep after Fitz, the fact that Fitz did not drew attention to himself under the care of Burrich, along with Fool expecting a legit Farseer, Fool didn't know the existence of Fitz until the conversation between Shrewd and Chade.