This is actually very cool. Not really replacing a browser, but it could enable an alternative way of browsing the web with a combination of deterministic search and prompts. It would probably work even better as a command line tool.
A natural next step could be doing things with multiple "tabs" at once, e.g: tab 1 contains news outlet A's coverage of a story, tab 2 has outlet B's coverage, tab 3 has Wikipedia; summarize and provide references. I guess the problem at that point is whether the underlying model can support this type of workflow, which doesn't really seem to be the case even with SOTA models.
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