Hong Kong - Shanghai - Macau - Beijing - Fort Lauderdale (USA)

Hello I am planning to visit Hong Kong from April 26 to May 1, Shanghai from May 1 to May 4, Macau from May 4 to May 6, Beijing from May 6 to May 9, and depart from Beijing back to Fort Lauderdale on May 9. With this itinerary would I be eligible for the 144-hour visa-free transit on when I visit Shanghai and Beijing? Thanks