That's a good question.
If you go with Motorola Global's repair services, you have a wait time or turnaround time of four days at very minimum, if you are willing to go with Advance Exchange (more or less like, once they confirm you have started to send it to them, they ship you a replacement, and you never see your original device again... and you must pay the Fed Ex fee for overnight or fast delivery... but, you get a replacement quickest this way.)
Or longer than four days, of course. Standard Exchange is about five or six days turnaround time.
which claims to have a 48 hour turnaround time on mail-in repairs, but that's 'domestic service'... from France, and back to France, might be quite a bit longer, if they even do that sort of servicing.
And, there's https://www.phonerepaircompare.com/motorola-smartphone-repair-services/broken-motorola-droid-maxx-screen-glass-diagnostic-repair-service.html
which quotes a price for battery-type repairs, of about $85. But that's the repair price, and shipping it to them will cost more.
The other two services, Motorola themselves and the second choice also, only give estimates of price by arrangement - in other words, no up-front price quote (since services and problems differ, etc.)
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