peace,
52:4 And/by the frequented/enlivened/vivified house
bayt does not only refer to a physical house, it can also refer to a household/family, a shelter, a place of rest/tranquility. In Classical Arabic dictionaries, it mentions Jerusalem, Kabbah, Ark of Noah as all "bayt". The Quran also mentions the latter, and also uses "people of the house/bayt" to refer to those following God's way.
In chapter 52, the verses seem to imply God has gave new energy/life to His House, i.e. his deen/obligation, and it is bound to triumph, hence the following verses warning those who reject of the inevitable outcome.