Appropriate travel document for my 1-year old to China (Chinese mother, non-Chinese father)

Hi, I have British and Italian nationalities. My son, 1 year old, holds the same both. My wife is Chinese and she has been in the UK for the past 3 years, so she doesn't have yet a British ILR. We are planning to travel to China in May to visit in-laws, and I am wondering what is the appropriate travel document. I thought my son would need a visa on his British passport like me, but, after searching online, it seems that this is not possible because he is considered a Chinese citizen, being born by Chinese mother that does not have settled status abroad. Can somebody please help here? Should I apply for a normal entry permit for him, or a Chinese Travel Document, as suggested online?