So did Duchess Meghan walk her dog around Kensington Palace or no?

So did Duchess Meghan walk her dog around Kensington Palace or no?

A reporter took a photo of a young woman outside of Kensington Palace. The young woman had a little dog, and the dog pooped on what was technically palace grounds, I guess. The reporter took a photo of the woman and the dog and apparently the reporter chatted with the woman briefly. The reporter claims that the woman is the Duchess of Sussex: