They announced the terms for refunding the Mie a-nation tickets today.
So no replacement date.
Surprisingly the regular ticket sale for her DNA Tour is already on-going!
I've missed the announcment some days ago.
Anyway, here's the link:
https://l-tike.com/st1/kodakumi-dnaticket
7 dates are already sold out:
09.22. Sapporo
11.03. Osaka
11.04. Osaka
11.08. Kurume/Fukuoka
11.13. Kanagawa
12.04. Saitama
12.29. Kagawa (Final)
For the 6 following dates only few tickets are left right now:
09.15. Fukuoka
09.23. Sapporo
12.01. Sendai
12.02. Fukushima
12.23. Nagoya
12.24. Nagoya
They specifically state though, that because a lot of the dates already have a bunch of tickets sold, you should apply for more than one date to make sure you get a ticket for one of them.