Yeah I understand. For something you use so actively you want it to be as seamless as possible. Maybe have another look at the “install to home screen” option though! I think you can do it on Chrome too btw. But I believe it should actually open as a seperate “app” on your phone.
So instead of having 1 browser app that contains whatever you’re browsing + your dashboard, you could have 1 app for browsing + 1 “app” for your dashboard. It would allow you to even close down your browsing while always having an open dashboard. Maybe it doesn’t fit your flow but it seems like an option worth considering if you haven’t already.