It’s also worth noting that the show is expected to use the AR Wall even more for the third season, and much (if not all) of the visual effects work for that has already been completed. It’s likely other visual effects work has already started, especially following the end of the WGA strike which allows the showrunners to oversee the work. Bear in mind that other post-production work, like editing, would start as soon as January after the first episode is shot.
So in theory we could see the debut of season 3 in late 2024. One way to make this happen could be to split the season into two halves to allow time for post-production to be completed on the second half of the season, as they did for the first season of Star Trek: Discovery.