[onetwo_threefour]

The problem is that a 'Puggle' is not recognized as a breed by any of the kennel clubs. A purebred Puggle is an oxymoron in that sense. If you had non-purebred pugs and beagles breeding then the offspring is technically not a puggle. But, since there is no breed standard for a puggle, technically you can call anything you want a puggle anyway so it doesn't matter. The only meaning purebred even has is relative to a breed standard. If no breed standard exists, the term is meaningless. People make up names for crossbreeds all the time but until they have established as a separate independent breed with a standard, the term purebred is simply not applicable.