You can persist the Store to local or session storage (in a browser), to a file (where available) or to a remote server. More on the concept of 'Persisters' is in https://tinybase.org/guides/schemas-and-persistence/persisti...
You can see this in action in the TinyDraw demo: https://tinybase.org/demos/tinydraw - make some changes, refresh the page, even open it up in two windows of the same browser at the same time.