A very do-able Sunday afternoon project imho.
H/w and s/w i use/host on my pi-0-w for home automation could easily be adapted.
the only thing i cant replicate is the Audible/physical 'CLICK' a manual counter provides.
I suggest you consider these or similar as 'Clickers'
https://www.aliexpress.com/item/DIGOO-D ... 020cfbbfa5
then you can use this device
https://www.aliexpress.com/item/New-Son ... bc362af0f1
when reprogrammed with this firmware
using a usb/ftdi like
https://www.aliexpress.com/item/1PCS-CH ... ccc15b023d
to convert every 433mhz signal that it can 'hear' like a button press.. as a Mqtt topic/Payload published over your wifi network.
Something your Pi can 1) detect and 2) count
So Host a Mqtt Broker on your Pi, and some s/w to subscribe to the relevant topic to count and save clicks.
I would suggest Node red as your subscribing/counting/saving s/w but you could also use anything else even write your own script to handle the job.
Once the bridge is up and connected it shouldn't take too long to work out how to count the signals received and save them.
(if needed i can provide a node red flow which should give you a LOT of clues..)
Alternatively you could use Bluetooth luggage finders with buttons without any additional h/w requirements, but the 'clickers' are more expensive and probably have a much shorter range, and would require a little more development in scanning for and reading.
One area that may require further development may be in providing feedback a signal has been sent and received?? using the h/w recommended above i do find that occasionally i need to click a button twice...