Not quite sure, but I have understood that you can use the Storage (the actions related to "Storage") to save Scene Variables (Global Variables won't save but if you need them to do so, then I think you can create an event so the Global Variable gets the same value as the Scene Variable as soon as the first scene loads).

However, I don't know if this works on browser but maybe you can create a test project (for example, a project in which by each click you add 1 to a number, and that number is shown in a screen, which you save in a scene / global variable). To know if it works. If it does, the number on screen should be the same one as the last number you got to. Imma try that as well to see if it works tbh.