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Hello @zerovoltb33,
Thank you for contacting Rank Math support, and sorry for any inconvenience that might have been caused due to that.
Please note that Rank Math is not responsible for controlling the favicon that appears on your website as that is usually built into the theme options.
However, you can check the guidelines that Google recommends for your favicon to show on the SERPs:
https://developers.google.com/search/docs/appearance/favicon-in-search
Please make sure that you have the same setup on your website.
Hope that helps.