UX: Search Kit and Form Builder should have an "edit" link at the top if you have permission to edit them
In Drupal, if you're logged in as an administrator, there's a gear icon at the top of a View when displaying it on a page. "Edit View" is an option. Likewise, the (relatively recent) "Configure Contribution Page" in Civi.
I propose a similar menu be added to elements embedded in a Form Builder form, as well as a menu for the form itself. Embedded Search Kits should have an "Edit Display" and "Edit Search", and Form Builder forms can have "Edit Form" and "View Submissions".