Hello @George,
I added the plugin when I started this discussion. It never showed me the above prompt. I added the browser profile and also a shortcut key to open browser in new tab.
I used the iterm browser for a couple days and then deleted it as it was not freeing up the memory even after closing the tab.
And then after 2-3 days, it somehow started showing the above prompt (I updated the iTerm version I guess).
Even now, I Cmd+Clicked a link and it showed the prompt. I downloaded the plugin using it. But after installing the plugin, now it does NOT show it.
Starting fresh now:
I installed browser plugin.
Browser profile created.
"Enable browser-style profile" show "Yes" in Advance Settings.
Restarted iTerm.
Cmd+Click a link and it opens in Safari :(