Sitefinity loads its jquery version on a frontend page when there is a user currently logged into the site, this query is not loaded when there is no authenticated user who have permissions to use inline editing for pages (the gear icon in the right side of the screen when viewing sitefinity page).
Check pages for loaded jquery when there is no authenticated backend user logged in the current browser or disable the inline editing functionality from Administration->Settings->Advanced->Pages locate the texbox labeled Enable in-line editing and set it to False, save changes after this.
For the best approaches loading jquery on the page refer to this
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