The type of narrator that does this describe is option A: limited third person.
This type of narration is called third person limited narration because this makes a third person limited narrator.
Moreover, there are basically two parts to look at, third person, and limited. The narrator is refers to the another character, Pip. In this case the narrator is defining another character, and not referring to himself, it's third person and not first person narration.
On the other hand, narrator describing the opinions and feelings of Pip and not any of the other characters in the book that represents its limited narration.
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