It's probably okay, it can walk and fly.
I tried giving it some bread but it wasn't paying any attention to it. I shoved it closer, which scared the poor guy and it flew on a first floor windowsill across the street. That's probably for the best, it could easily fall victim to a dog otherwise. I threw the bread up there but it seemed tired from the flight and sat in the shade. Most of the bread was gone the next day, and so was the pigeon.
I was really surprised by how long the young ones' beaks are, I first thought it could be a corvid.
Perhaps a stock dove, it's the second most common Columbidae member in town
but leading the pack is common wood pigeon.
Dreamstime search results seem to agree - juveniles are all-gray and have longer visible beaks.
I've seen Eurasian collared doves but not in this town, although adult ones are mostly gray like this.
I learn many things with you comment:
Stock dove is a dove from the point of view of the english language. As a french speaker, this is definitely a pigeon (colombin pigeon according to wikipédia).
Collared doves are europeans. We french called them turkish doves and it never cross my mind there could be other types of dove...
Wood pigeon are getting more and more common in french cities and town but the most common is without a doubt Columba livia. Yet another english "dove". What is more "pigeon" that this? To be fair, wikipedia called it both "rock dove" and "rock pigeon".
There’s no real difference between dove and pigeon in English. Rock doves are almost universally called pigeons. I like to say that if you like the bird you call it a dove and if you don’t you call it a pigeon, because anecdotally that seems to be how many English speakers work
Thank you for clearing this up. Indeed in French dove (tourterelle) and pigeon (same) are very different animals.