Mr$.$ Jerry Haggard owns a house in Calgary, as well as a cottage in Canmore. He purchased the house in $2017$ for $$475,000.$ The cottage was purchased in $2020$ for $$240,000.$ In December, $2023,$ both properties are sold, the house for $$913,000$ and the cottage for $$360,000.$ He has lived in the Calgary house during the year, but has spent his summers in the Canmore cottage$.$ Required: Determine the minimum capital gain that must be included in his $2023$ income as a result of the sale of the two properties using the best application of principle residency as possible.