It took 8 days for the system to update with me. My documents were signed for on the 23rd June but they didn’t appear on the system tracking until last night at 6pm. Strangely I had spoken to someone in the passport office just 6 hours prior to that, and although they hadn’t taken any of my information, they explained the system is being slow to update with it taking 1-2weeks.
Hang in there and fingers crossed for you!
Also, from what I’ve seen the children passports seemed to be quicker but I’m not certain on this. Seems to vary massively from person to person.