YES!!!
I can't tell you how happy this makes me. I really thought she wouldn't be releasing one around her usual time either, but I guess she will. A TA newsletter is official (obviously), so I'm ecstatic to hear this. I can't wait to see the cover and hear the title. There must be plenty of new songs too considering how there's only been 4 since (m)u, not counting part of Me.
As for the new recorded song, I'm pretty sure it will be like JEWEL, an album track that's promoted for the album (i.e. she sings it live and there's a PV for it).