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Hello @eliot1988,
Thank you for contacting Rank Math support.
The title you have encircled in your screenshot is your homepage title. To update it, you can follow the steps in our guide here:
https://rankmath.com/kb/homepage-meta-title-and-description/
Please note that the Alternate name in Rank Math is for the Site name, which appears above your website URL. You can refer to this link for more information:
https://developers.google.com/search/docs/appearance/site-names
Hope that helps.