We don't have synonyms for inate yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are irate, inane and innate.
°Originating in, or derived from, the constitution of the intellect, as opposed to acquired from experience; as, innate ideas. See a priori, intuitive.
°Originating in, or derived from, the constitution of the intellect, as opposed to acquired from experience; as, innate ideas. See a priori, intuitive.