It's not clear what is your goal. Let me share what I am understanding. Correct me If I am wrong.
Users will open your website from their browser to open another browser inside of it? Why anyone will do that?
If you have developed your own browser, you need provide installation link for it.
When you said, you want to share your browser with people. It is similar to sharing screen. You usually share screen on meetings. Why you need to share screen with a news website? I think you are not clear with your goals.
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