Bronte Mance, who co-founded cult luxury footwear brand Naked Wolfe, wanted to merge her four-storey Georgian maisonette with a separate basement flat.
The singer, 33, dated the model, 30, on and off for six years, with the pair welcoming five-year-old Khai together in 2020, before calling it quits the following year.
The star shared photos and video of the canine along with a long note and tributes from supermodel sister Gigi Hadid as well as her former reality TV star mother Yolanda Hadid.
The women were spotted heading to the exclusive Zero Bond in New York City on Monday, exuding an air of coolness as they headed to the members-only club.