The only thing you need to do as far as Admin Tools is concerned is make sure that your site "sees" the correct IP address of the visitor. This is a Joomla! feature now. Go to Global Configuration and set "Behind load balancer" to Yes. Everything else is the same regardless of whether you're using Admin Tools or not.
Like with any CDN, and unrelated to Admin Tools, you will need to add rules on your CDN to disable caching of all /administrator URLs on your site. I can't tell you how to do it on this CDN as I have no experience with their admin interface; if unsure, ask the CDN provider's support.
Nicholas K. Dionysopoulos
Lead Developer and Director
🇬🇷Greek: native 🇬🇧English: excellent 🇫🇷French: basic • 🕐 My time zone is Europe / Athens
Please keep in mind my timezone and cultural differences when reading my replies. Thank you!