Perry agreed to purchase the hilltop property for $14.5m (£10.8m) in 2015.
But two of the nuns who used to live there objected, and instead sold it to restaurateur Dana Hollister without the approval of the archdiocese.
Last month, a jury found Hollister intentionally interfered with Perry's planned purchase.
The businesswoman made her purchase of the eight-acre property with the co-operation of Sisters Rita Callanan and Catherine Rose Holzman, who maintained they had the authority to sell.