@Loris Hi and welcome to the community. 
Fair warning, I am a newbie too! lol For future reference, you may not want to post your wallet address for privacy and safety. You can edit your post and delete that information but it will still be in the edit history section. I don’t think many people read that though. 
In Brave Wallet Portfolio view, there is a “Visible Assets” button at the bottom of the page, click that and add BAT and any other asset you want to see in your Portfolio by checking the checkbox to the far right.
Now the next one is the tricky part.
You can add EVM networks in brave://settings/wallet/networks.
Or by adding through chainlist.org per the post below.
KCC Mainnet is listed.
Unfortunately, I don’t know enough to help you with the next part, just providing the information and hoping the information provided is correct. lol You may have experienced adding networks at some point and know exactly what to do! Hopefully, someone else from the community can jump in and help with this.