With the recent end of the WGA strike (the second longest in its history), Variety has issued a report touching on Hollywood trying to get back into motion after the work stoppage, citing a number of shows. One paragraph in particular, however, discusses HBO specifically, noting that a number of their shows saw no production at all… but one big one, House of the Dragon, has in fact wrapped filming:
Summer 2024 sounds pretty good to us.
Of course, besides HotD, the end of the strike also means that scriptwriting can resume on A Knight of the Seven Kingdoms, which HBO had ordered straight to series just before the strike.