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Today I have seen Bing´s new Deep Search in the wild. @rustybrick reported about it a month ago on SEL (https://searchengineland.com/bing-deep-search-is-rolling-out-to-more-users-437190).
Hovering over the new button brings up some sort of warning to be patient: "GPT-powered results takes ~30 secs".
It seems Microsoft has significantly improved the speed of responses. For my "seo" search, it took about 15 seconds for the results to appear (30 secs for "bing"). A blue bar showed the progress.