My faith in anyone actually stopping the theft is pretty low. I could never condone such actions, but in the long history of bike theft from people I am directly connected to (bikes being either motorcycle or bicycle), the only successful results I've seen have come from vigilante justice and/or insurance replacement.
I hate to say it but on bikes that are worth this little monetary value, I'm expecting it to get written off really quickly. The thing is, a bike that's missing vs. a bike that's been busted up but we know where it is... one of those is going to get reimbursed more quickly than the other. Seattle PD et al are notoriously bad in our area for actually stepping up with theft recovery, even if you provide them exact details, locations, etc. and I speak from experience when I say this. There's also friends in my area have bicycles stolen from garages that were locked to floor anchors so even that isn't much of a motivation.
AirTags and the like to me are more about recovery and filing insurance later. Especially since it's very, very well known that OfferUp continually lists stolen items, the attorney general refuses to do anything about it, and there's a theft ring where they routinely ship goodies from this city to others up and down I-5 and have done so for the last 20 years.