As an AI language model, I don't have access to real-time data or the ability to predict the future. However, I can provide some insights based on the information available up until my last knowledge update in September 2021.

At the time of my knowledge cutoff, Google Chrome has been the dominant web browser with the largest market share for several years. While Microsoft Edge has made significant improvements since its introduction, including its shift to the Chromium engine, it still had a smaller market share compared to Chrome.

Advancements in AI technology can certainly be a factor in enhancing a browser's features and performance, such as improved search suggestions, personalized recommendations, and enhanced security measures. Microsoft has been investing in AI technologies, and it's possible that Edge could leverage these advancements to provide a unique browsing experience.

However, the web browser market is highly competitive, and the dominance of Chrome is not solely based on AI capabilities. Factors such as user preferences, performance, compatibility, speed, and availability of extensions also play crucial roles in determining a browser's popularity.

For Microsoft Edge to surpass Google Chrome in terms of market share, it would require a combination of factors, including significant technological advancements, strong marketing strategies, positive user reception, and the ability to attract and retain users from other browsers. Only time will tell how the browser market evolves and whether Edge can gain a larger share.
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