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Hello @biolutife,
Thank you for getting in touch and we are sorry to hear about the issue you are facing.
Please note that Rank Math doesn’t control how the favicon will be applied on the SERP so ensure that you have correctly added the favicon to your website.
Here is how you can change the favicon on your website:
https://rankmath.com/kb/wordpress-favicon/
Here is some information from Google you can follow:
https://developers.google.com/search/docs/appearance/favicon-in-search
Hope that helps, and please do not hesitate to let us know if you need my assistance with anything else.