So, we know that when the Black king start the reckoning, the players have 24 Hours to defeat him and sent the Genesis Frog into Skaya. But what about the Reckoning? does it continues? can the Frog be harmed by the Meteor or something? Bec noir target directly the Frog in Cascade so...

The White Sceptre initiates the Reckoning. It’s only logical using/destroying the Black Sceptre would have the opposite effect, stopping the Reckoning.