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You only have 30 days from the date of mailing.
(The timeline runs to whichever is later, in your case, if the original date of publication was over 3 months ago, this would make the 30 days from the date of mailing the later date).
You can try that route, I cannot say I would recommend it. A court may look at your matter and determine that with both the date of publication, combined with your "actual notice" (the email) that your failure to file a claim in time waived your response.
(This isn't like disputing service of process for a civil summons and complaint).