Hi Snubnose77 and welcome
It’s busy around here with issues so I thought I might try and help! At least the following should be what happens in my experience.
Firstly the Gemini wallet is set (I think by default) to disconnect automatically as a security feature from the browser every couple of months so what you describe happening originally is not a problem as you should still receive the rewards to the wallet just you can’t see your wallet’s balance all the time.
Once disconnected all you should need to do to reconnect(in my experience) is go to the rewards page and then the rewards window should have a box which at the top of it says verify wallet - I know you have already verified it originally but that’s what you click on. Then click on the next window click continue then on the next window choose between Uphold and Gemini and that then takes you to a new page which is the page for logging into your Gemini account. Once you have logged in to your Gemini account you should find things are back on your new tab showing your Gemini Brave Reward balance.
If the above isn’t what happens you probably need someone from support to give you a helping hand, or a community member who knows more than little ole me
Anyway hope the above does the trick, or helps you get some zzzz as it seems awful long now.