An Irish CAT liability will arise because the disponer and/or the beneficiaries are Irish resident. A smiliar tax may arise in Finland, as it Finnish situate property
Although the double taxtaion agreement does not mention CAT or Inheritance tax it should be covered by this para:
"This Agreement shall apply also to any identical or substantially similar taxes which are imposed by a Contracting State after the date of signature of this Agreement in addition to, or in place of, the existing taxes. The competent authorities of the Contracting States shall notify each other of any substantial changes which have been made in their respective taxation laws."