Using Classic Outlook on Windows for personal email, calendar, and contact management
I had been using the old Outlook. I have since switched to the New Outlook and instead of using a shared calendar, I did add my Google calendar as an Internet calendar, using the same shareable/secret link. I no longer select the shared calendar, but the Google calendar shows up as an option and when selected to show, it is incorporated into my regular calendar. No need to see a second tab, or use the arrow to bring them together.
Also, it "seems" (I say this hesitatingly) that it may now be updating when I both add a new event and delete and old one, although removing the deleted item took at least a few hours, maybe overnight.
I don't, in general, like the new Outlook, as there are things that have been taken out that I used all the time, but at least this feature seems better.