Using 110-220v charger to charge laptop battery which says 14.8 v

I am sorry if this seems a silly question but I am worried about ruining my laptop.
The battery of my laptop no longer worked. It was 14.6 V /2670 mAh. I had been charging this with 220v plug socket without any problems.
I bought a new battery which is 14.8 v/ 2600 mAh. Now I am worried whether this would cause a problem.
Also, the charger I use says Input: 100-240 V ~1.5A, 50/60 Hz. Output: 19.5 V 3.33 A.
Can you please tell me if I can use this new battery without having to buy an adaptor?
Thank you

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