Get your save onto the site
The Tower keeps its save at Android/data/com.TechTreeGames.TheTower/files/playerInfo.dat. Force a save in the game first, then copy the file with a computer and cable or a file manager on the phone, and upload it on the home page.
Android 13 or newer
Total Commander hands the folder to the Files app, which can copy the save to Download.
iPhone
Back up the iPhone to a computer and extract playerInfo.dat from the backup.