PCT claiming priority of CIP

PCT does not really recognize any priority between a CIP and an original/parent application as is done in the US - they go strictly by publication dates. So, since your CIP application was obviously filed before the publication of the original or parent US application, and since the PCT application claims priority to the US CIP, the original/parent US application will not constitute prior art against your PCT application. Sometimes, practitioners inadvertently claim something in a PCT application that is based upon, for example, one or more CIP applications but forget the fact that while the continuity/priority may hold up in the corresponding US application, if there is no direct priority back to a particular US application, and that US application is published, then that published application could serve as prior art against your later-filed application. In your case, since there has been no publication yet of any of the applications, your priority is intact and the original/parent US application will not constitute prior art.