We don't have synonyms for apologises yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are apologist, apologize and apologise.
(v) :
Non-Oxford British English standard spelling of apologize. [(intransitive, often followed by “for”) To make an apology or excuse; to acknowledge some fault or offense, with expression of regret for it, by way of amends]
(v) :
Non-Oxford British English standard spelling of apologize. [(intransitive, often followed by “for”) To make an apology or excuse; to acknowledge some fault or offense, with expression of regret for it, by way of amends]