Has my battery actually been replaced? Samsung A40

I went to a phone repair shop to have my display replaced, which was cracked. I took the opportunity to have the battery replaced too: My Samsung A40 is four years old and I noticed that the battery wasn't lasting as long as it used to. I have picked up my phone from the shop and while it is obvious that the display has been replaced, I am suspicious that they simply left the old battery in there: 1. The battery is draining quickly, as it was before: It's gone from 97% to 90% in about two hours. (I have not charged it since getting it back.) 2. When I turned on my phone after getting it back from the shop, the battery was at 97%, which is, I think, more or less the level it was at before I switched it off in the shop. 3. Under Settings > Device care > Battery > Battery usage, there is usage data for the last seven days. Shouldn't this be blank? Or does a change of batter _not_ reset this? Am I just being overly suspicious or is there a way to confirm whether the battery has been replaced? (Even if I did open it up and look, I didn't think to write down the serial number of the old battery.) If I were to go back to the shop to complain, then I would need firm proof. EDIT: My original question was not clear. Put succinctly: **Is there a way to tell whether a battery has been replaced using only the software?**