@Gina-And-Andy0
Is it an expensive piece of furniture, can it be repaired or replaced pretty cheaply?
I think you are absolutely right not to claim on the small items that can happen quite often, I am also of the view that from time to time something bigger will happen and it's probably not worth the hassle and stress of trying to claim for it, unless it is very sigfnificant.
Remember, you will need to prove that your previous guest did this - unlikely you can as another guest has checked in and claimed it was broken. That's won't stand up to AirBnB's scrutiny if you try claim against a security deposit.
You could try and contact the guest and ask them if they noticed any damage - if they say yes and offer to pay, then great, but your chances of success in a claim are close to zero.