Coach (now Tapestry, Inc.) does not produce handbags in Costa Rica.
Some luxury brands (e.g., certain Ralph Lauren, Michael Kors lines) have used Central American facilities. Coach's supply chain disclosures (Tapestry ESG reports) list no Costa Rican sites. Authentic Coach tags read "Made in China," "Made in USA," "Made in Vietnam," etc.
Check the creed patch (serial number) inside the bag; Coach's authentication service verifies origin. Counterfeits often fake "Made in Italy" or "Made in France" tags—Costa Rica is rare even for fakes.