WARNING: This page is about a different car, the 2003 Mazda Protege5 and 2003 Mazda Protege. However, it is still accessible from the selected car via links, so may be relevant.
Disassemble in the order indicated in the illustration.
Fig 1: Climate Control Unit Disassembling Order Chart
Courtesy of MAZDA MOTORS CORP.
Fig 2: Disassembling Climate Control Unit Components