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Hello @designpixelloid,
Thank you for contacting Rank Math support, and sorry for any inconvenience that might have been caused due to that.
Our plugin is not responsible for controlling the favicon that appears on your website. Usually, that’s built into the theme options.
https://rankmath.com/kb/wordpress-favicon/
If you have already set up the favicon in your site, you may check the guidelines that Google has for that here:
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.