If you're talking about Google Search specifically, maybe. But Google has many other products, like YouTube, Gmail, Workspace, Maps, Translate, etc., that will keep them around for a long, long time, unless something drastically changes in the next few years
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AI is going to kill a lot of the open web and everything will be behind walls to prevent AI scraping data and then AI will become less useful because it won’t have this source of endless free information to steal. Where Google Search is at this point who knows?