Yes, AMD booked 5nm. In the second half of 2022. Why do you think TSMC has capacity in 2022? Because Apple will have transitioned to a lower node by then. Apple can pay more, so they get priority access. And of course, TSMC is working hard on expanding capacity, so hopefully there will be enough for everyone once 3nm reaches volume. Apple is Stil likely be at least a year ahead others here though.
According to the reports, rumors, and speculation tree, AMD and Apple will both be on 5nm+ node next year. Apple will still be there first, primarily for the upcoming iPhone, but it will likely be the case that when Zen 4 comes out next year it will be on the same node as what the competing AS Mac chips will be on. That hardwaretimes article has it pegged later than I’d heard (however may be more accurate! and if accurate may mean Apple will have a node edge).
EDIT: I should state that he is still wrong in general: Apple gets priority access to nodes because they help pay for it and ships waaay higher volumes of chips than AMD. Naturally most of those are iPhone chips, but that’s not really here or there for the purposes of manufacturing and the volumes don’t compare. AMD is getting bigger though and more able to buy volume earlier.
EDIT2: okay it looks like more people are saying end of 2022 for Zen 4 on 5nm+ which will probably still overlap with M-series 5nm+ chips but less so than I thought.