It doesn't even let me do that. It just reloads the screen after I click the button, and doesn't go back to the random encounters. Every time I've uninstalled and reinstalled the game, it does this. I just don't get the random encounters.
Ah, I might need to put a "restart game" button somewhere then. Thanks for letting me know! In the meantime a workaround might be to open the game in a private tab in your browser.