It had a new battery when purchased as a refurb. Just dont wan to waste money on battery if not that.
Unless you buy a refurb directly from Apple, you have no guarantee that the battery is an Apple battery. Only Apple Authorized Service Providers can obtain genuine Apple batteries as a service part. Aftermarket batteries are almost all garbage.
To see if this is an Apple refurb, Do Settings > General > About. Look at "Model Number":

The first LETTER of the number holds a clue. If "F," it was properly refurbished by Apple.
If it is "N," it was a replacement Apple sent in lieu of having the owner wait for theirs to be repaired; those are also real refurbs so should have an Apple battery.
"M" indicates it was sold new. If you were told it had a new battery, M suggests a non-Apple refurb or that the battery was never replaced.