72 hr free transit

I am a Bermudian citizen living in the islands of Bermuda. My passport is a British Overseas Territory Passport. I am leaving from New York to Singapore with a 2 hr layover connection in Guangzhou continuing to Singapore. After staying in Singapore for 3 days I am flying back to Guangzhou to stay for 3 days then direct back to New York. Do I qualify for 72 hr free transit? Thanks in advance