Not too long ago, this was done by Chrome very elegantly. You could create a shortcut, pin it to the taskbar, and make sure "open as window" was checked. And I would pin all sorts of stuff, like Lastpass, Protopage, Facebook and Messenger and Linoit and much more. Stuff that I don't want to be thinking .. which browser, which window, which tab. It is that way on my Desktop Windows 10, because I did it many months back on earlier Chrome versions. (Which makes me wonder about finding the right version and loading it for just that purpose, if possible.)
This is especially important for something like Lastpass, where the browser might close on a simple minimize, and you might have to reenter passwords. Also you want to get to it especially quickly, because you are checking something about a sites password other info. (Yes, the extensions for various browsers are supposed to help with that, but they are quirky.)
I read many articles, Google Chrome lost the feature, back and forth, up and down.
Microsoft Edge has an "almost". It pins to taslbar and opens to the browser (not in its own window.) And e.g.with Lastpass minimizing closes the Vault (a Lastpass "feature".)
Still this might be the best way, since I don't use Edge for anything else. Maybe if I just use it as my "Pinned Program" browser, I can regain some functionality?