Aha, I'd tried that previously and just got really expensive stuff and non-rechargeable stuff. However, one of the links mentions 16340 which it appears may be the correct name for the rechargeable one.
16340 just means the raw cell is 16mm diameter and 34mm long. The packaging and button and protection board (if it has one) may add more. That seems to be close to the stated dimensions for CR123 (Duracell says 17 x 34.5) so it should be ok. Might need some padding.
Lots of results if you search for rechargeable Cr123, e.g. https://amzn.eu/d/77wEG34