Although I liked the computer, it wasn't a refurbished computer by Back Market standards, but rather a second-hand one in good condition.
As soon as I opened it to check that everything was OK, I blew it out and saw dust bunnies coming out of the fans, not to mention the dust that was already inside.
I did a battery test and found that the battery wasn't at 85% minimum as confirmed by the pact, but at a timid 82%.
Playing around a bit, I found that the temperature was a bit high; for good reason, when I removed the radiator, I discovered a completely dry thermal paste, which is not a sign of optimal reconditioning either. I gained 11°C after changing it.
I did get a gesture from the seller to the tune of €50, just the price of a replacement battery (an unofficial one of course, otherwise it's close to €100).
So YES, it's a second-hand product in good condition, but NO, it's not reconditioned.