Yes wheelchairs fly free.
You’ll be permitted to use your wheelchair as far as the aircraft where, once seated, your wheelchair will be taken and placed in the aircraft hold, to returned to you when you disembark.
The same goes for ‘invalid strollers’. A couple of years back I crashed while racing and fractured my pelvis, When I returned home I flew both my bike and an ‘invalid stroller’.
The bike was charged at sports equipment rate, there was no charge for the ‘stroller’.
I definitely would attach an AirTag to a wheelchair given the absolute necessity it is.
Also because it will only be folded, not placed in a bag, make sure any lose items, bags etc and any brake canes are taped or strapped close to the frame.
If your wheelchair has a battery then definitely discuss with the airline well before your flight.