If you look at the tournament page, you can see how many games remain to be completed in this round.
https://www.chess.com/tournament/2024-chess-com-daily-chess-championship
It says that 950 remain as of today.
Check again tomorrow.
In the meantime, why not write an entry in the contests they are running?
I have registered to the 2024 daily chess championship daily tournament, and I have finished round 1. When will round 2 start?