There is no difference between "IE11 mode" and "edge mode". The latest version of the developer tools only offer IE11 mode.
Starting with IE11, edge mode is considered the preferred document mode. (In earlier versions, it was considered experimental.) To learn more, see Document modes are deprecated[^].
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Starting with Internet Explorer 11, content values greater than "10" lead to edge mode, which is the highest version supported by the version of Internet Explorer used to view the webpage.
NB: In this case, "edge" doesn't refer to Microsoft Edge, the Windows 10 replacement for IE; it just means the latest document mode supported by the current version of IE.