NFC UID max read count
The endurance of an EEPROM is considered regarding the writes only.
Read endurance is not described as it is so high, that there is no need to bother.
See for example:
NXP NTAG 213/215/216
Datasheet:
https://www.nxp.com/docs/en/data-sheet/NTAG213_215_216.pdf
Page 3:

EEPROM

Data retention time of 10 years
Write endurance 100.000 cycles