The licence holder must complete the remaining landings as the sole manipulator of the controls either alone (PIC) or with a required crew member eg. an instructor on a training flight (in which case the licence holder would be PUT), or an examiner on a flight test (in which case the licence holder could be PICUS or PUT).
Not quite correct.
There is no link between being pilot in command and being the sole manipulator of the controls (except on a solo flight).
I know 3 or 4 people who have made at least 3 take-off and landings as sole manipulator of the controls in the past 90 days but none of them hold a pilot licence, a medical and none of them were flying with an instructor but in all cases there was at least 1 passenger in the aircraft - it was the passenger (or one of them) that was manipulating the controls.
The PIC has to have the required number of landings recorded in the past 90 days. The person doing the flying and doing the take-off and landings does not need to have any experience.
Therefore the above quote misses the fact that a person who does not have enough landings in the past 90 days can fly as a passenger with a current PIC and while doing so perform the required number of take-offs and landings as sole manipulator of the controls.