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As stated by Timatic, the database used by Airlines:
Visa exemptions: Passengers with a valid visa issued by Canada, Japan, USA, United Kingdom or a Schengen Member State a maximum stay of 180 days
Visa exemptions:
Passengers with a valid visa issued by Canada, Japan, USA, United Kingdom or a Schengen Member State a maximum stay of 180 days
So no, you do not Need a Mexican visa