If you apply under NRI sponsored quota, you are still in the race under general category too.
When you fill the CLAT 2020 application form, in the online form you will see the fifth tab “reservation” which will show both General, NRI/NRI Sponsored seats below your name.
This will show once you have opted in for NRI/NRI Sponsored seats.
The NRI/NRI Sponsored seats under CLAT 2020 is open to both (i) non resident indians (ii) NRI relative can sponsor you. Even if you opt for NRI seats and you will still remain eligible for general category seats as well.
Tip: Bear in mind that some NLUs (for eg: Jodhpur, NUJS) they allow NRI relative to sponsor you only if you have scored up to 4000 rank and not more.