Touch ID Magic Keyboard doesn't work

It was working fine right after I purchased it.

Recently, TOuch ID is no longer recognized.

I have to reconnect the cable and turn the switch on and off repeatedly to get it to recognize it.

It also stops being recognized immediately.

In the Touch ID setup screen, it says "Unable to setup Touch ID on your keyboard. Place your finger on a different Touch ID if available." and even if it is recognized successfully, it is not until I unlock the device with my finger. Even if it is successfully recognized, it is not possible to unlock the device with a finger until it is unlocked.

In worse cases, the screen will sometimes omit characters or repeat the same characters.

Thank you in advance for your help.