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tokens: We sincerely appreciate the comments of our reviewer, Alexander James Mustill, and his work to improve this paper. Our gratitude to Dimitri Veras and Renu Malhotra for their insightful and encouraging comments on an early draft. RAS is supported by the National Science Foundation under Grant no. AST-1410174 and Grant no. DGE-1143953. KMK is supported by the National Science Foundation under Grant no. AST-1410174. AS is supported by the European Union through ERC Grant no. 279973. The numerical simulations presented herein were run on the El Gato supercomputer, which is supported by the National Science Foundation under Grant no. 1228509.