I agree, Jumika. For me in an X2Go session, when this happens in Brave, xfce4-clipman locks up as well. When I can access the clipman interface and clear its history, then the Brave problem goes away. However, if I kill the clipman process, the issue is still there. Perhaps it has more to do with the “content” of the clipboard and not the clipboard applications themselves or shared clipboards.
Edit: apparently because I’m a new user I’m limited to 3 replies on a given topic, hence the edit here.
I got fed up with this issue, but wasn’t ready to give up on Brave just yet, so I wrote a simple HTML page that I can use as a jumping point for opening new URLs or using a few search engines. Opening a new tab and doing CTRL-O to open this HTML page is helping hold me over until there’s a resolution to the issue. The code is available on GitHub via this link.