Bugger, I composed a reply but didn’t “reply” here’s it is below, sorry its late.
Yes IF the NExT is compatiable.
Is it LF or HF
If LF the odds are very good, HOWEVER, even though you are in a position to enroll your NExT directly, when you recieve it, it will be in EM mode (very common for LF ) if your system uses HID for example, you will need a writer ( blue cloner / Proxmark3) to change modes.
If your system is HF, can you post a scan of your card from TagInfo ( Change your actual UID)
Then we can better guess if your NExT is compatiable.
All that being said, if you scan your NExT on a reader, followed by you genuine card, take note of the location and time, and if it shows up on your system, you could then directly enroll it.