You can buy a third party wallet card that works with the Find My network just like an AirTag.
Any recommendations for a rechargable but thin one, AirTag itself is too thick for regular wallets.
I've been using one of these with Find My for over a year. I've not done anything with the Eufy app, just the Find My app itself. It lacks the precision find, but you can play a sound through the Find My app / get directions / share the item / flag the item as lost / do left behind and it works well.