On the 1st of February 2026:
I finally figured out the refunds, and the feature has been implemented!! That completes the technical milestones, and I am getting ready for the next release 
I also made a tutorial on using the refund feature, which can be found, as always, in the README file.
I had SO MUCH trouble finding, and then making the “Refund” button appear on Odoo, due to different configuration issues. To resolve this, I had to duplicate configurations for my payment provider and my payment method to make Odoo accept my refunds. After that was fixed, I implemented the API calls. Taler’s refund system is interesting, where you have to send a refund, and a URI is sent back. I turn this URI into a QR code that I send via email to the customer, who can scan it to their Taler wallet, to receive the refund. I had expected Taler to do the refund internally, as in, run the transaction back automatically to the customer wallet, instead of the customer having to interact at all. But I imagine that due to privacy reasons, the Taler merchant does not necessarily store the wallet information, and so the customer has to complete the refund themselves. One thing is unclear to me, does the customer need to receive the refund on the same wallet as the one they used to pay for the transaction? I will have to dive deeper in the documentation for this answer.
Anyway, my add-on now implements full refunds for customers. I did not implement partial refunds, because they are out of scope of the current project, but it is possible to implement it because Taler does allow for partial refunds. This could be a future improvement.
Regarding the coming work, now that all the technical features are done, I will get started fully on the translation, making more documentation (although I currently have a pretty good base), and looking into releasing the add-on!! This is super exciting!!
The translation of the add-on itself was complete, but I just added these new features, and so we need another go at the translation 
Anyway, that is all for today, I will make a post in the Odoo category of this forum as well
Thanks for reading!