There was no exact replacement. I had to desolder a chip from the original battery and solder it to the replacement. Not shown well in the photo, it is at the other end. I added a close up photo of the chip.
The original battery was LP404252ARU, with three wires. One for some sort of sensor. Device does not power up with two wire batteries. On Aliexpres on 2020 I found a "404252 3,7 V 1200mAh batería recargable de polímero de litio para Kobo Touch E-book MP3 MP4 Lampe altavoz juguetes banco de energía móvil 404050". The links from back then are dead now.
I have not searched yet.
I bought another reader a year ago, in May. A Kobo Libra Colour. This one the company said they would process repairs. Perhaps means spares will be provided.
Perhaps I should do something to power up the old reader and do a factory reset, or something, in order to remove the DRM thing from it (you can only have six on Adobe Digital Editions)
(I don't see a group on epub or ebook readers)