Early on after they reopened in 2021 they were doing timed entries and I think they still do them for special exhibitions, otherwise you can just go without a time. Do you remember where you read about needing timed entries?
Do note they are closed on Mondays as are most (if not all?) the Museums of Paris.
editing to add: I went to the home page for the Museums of Paris and found this link to get the free ticket to the exhibition that is opening the end of March at Carnavalet. It does need a timed entry but the rest of the museum does not. Very weird that there is no link from the Carnavalet website (that I can find).
https://www.billetterie-parismusees.paris.fr/selection/timeslotpass?productId=102005518254>mStepTracking=true&lang=en
Additional info about the Museums of Paris:
https://www.parismusees.paris.fr/en/vous-etes/welcome