I have the same scale and bought a few rechargable ithium-Ion AAAs and they work line a charm having a constant voltage until empty.

Only downside is that you don’t get any warning when they are about to run.

(Something like that: https://www.mediamarkt.de/de/product/_verico-verico-li-ion-akku-loop-energy-aaa-mit-usb-c-buchse-2er-pack-lithium-ionen-akku-109861637.html )

Edit: nvm, just saw your comment about yours usung a coin cell it seems like there are some deviations between different models of the scale.