I want to transition to a downloaded copy.
The WebGL save file is stored under idbfs/Strategems and downloaded versions are stored in Application.persistentDataPath/Strategems.data. They are most-likely compatible, though I haven't tested it. (Google the location of Application.persistentDataPath on your device.)
You can also use the following cheat code: Hold E + Y when selecting New Game in order to start a save file that's about 2/3 complete (up to 79 and Lab 2).