Share 'HELP - AIR SEALING a Continuous Stone Interior/ Exterior Wall'

I just recently audited a home that had a blower door number of 11,684 CFM50 and/or 11.81 ACH50. And of course one of the main air infiltration culprits was a stone face wall that was continuous on the outside and inside of the building envelope. The basics as I see it is this: the 1/4" stone joints allow air to freely flow into the house. Does anyone know of any good methods to seal a…