The article doesn't, as far as I can tell, specify the capacity in which you have to do these three take-offs and landings. If you were acting as Pilot in Command, but you were letting your friend do the take-offs and landings "as sole manipulator of the controls", would that be legal, and would that count towards his 90-day currency?
If you were a member of a group and current, it is perfectly possible for you to let your colleague play with the controls and even let him do the landings, but you are still the P1 and he is the passenger.
What you need to do is to let him prove to you he is ok then step out to let him do his 3 take-offs and landings.
In our group we have a 45 day rule, after which you fly with another current group member, but one prefers the comfort of flying with instructors who tnd to be less demanding than us.