If you are genuinely non-domiciled (where do you call home, do you intend to return etc?) then you are not liable to Irish Capital Acquisitions tax until you have been Irish resident for 5 consecutive tax years.
At which point you will be subject to Irish Inheritance tax and possibly depending on where your parents live, also taxes in their country.
For example I am subject to UK inheritance tax on my worldwide assets and Irish CAT on land and property here in Ireland.
My kids are Irish, have Irish passports but take the domicile of their father so they are Irish citizens, Irish resident but UK domiciled.
It’s worth setting out your circumstances in a little more detail than you have and, as necessary, taking legal advice here - I can recommend some very good lawyers who will then be able to reach out to your parent’s lawyers and formulate a plan.