6) The losing player must confirm the winner's words and write their own description.
In my opinion, it shouldn't be that strict. There might be a situation where the losing player simply won't be able to access the internet for some time. Therefore, I suggest the following revision:
6) The losing player must confirm the winner's words and write their own description. If no description is provided within 3 days (negotiable), the victory will be awarded to the player who first submits the description.
It only sounds strict, but in reality, the absence of immediate confirmation does not mean a rejection of the match. You can confirm it even after a week.
Your amendment is not needed; the victory will be awarded to the winner in any case, regardless of who submits the description first.