Just throwing an opinion in - not an expert so take it on its merits not 'cause I deserve to be taken seriously on the topic.
I'd be putting the new wort in in the timeframe suggested by
/// - or during the growth phase of the yeast before it starts to ferment.
The yeast is going to have a look at its surroundings - decide how much it can reproduce given the available resources and set about doing just that. When its grown as much as it needs to, it'll switch over from reproduction to fermentation.
If you chuck the new wort in while the yeast is still growing, then they can re-evaluate the situation and grow some more - rather than going through the effort of changing over to fermentation, then having to change back to growth and back again.
Plus - any oxygen you introduce during that time is going to be good for proceedings rather than bad. In fact you could and probably should oxygenate the batch again, or at least the new wort before it goes in.
I vote for dumping it in there within 24ish hours of the first lot before fermentation starts.
Thirsty
note: Anthropomorphism of yeast is for illustrative purposes only. Yeast are not sentient and you don't need to feel bad about drinking them