Late Fees AFTER Notice to Pay or Vacate provided

[Reece Bierhalter]

I provided a tenant with a 3-day Notice to Pay or Vacate.  The total amount is based on the back rent due, plus all late fees incurred up to the day I provided the notice. Per the lease I have an initial late fee, then a daily late fee after the initial fee.  My question is, do the daily late fees continue to pile up after the 3-day notice to pay or vacate is provided (meaning if its $20 additional/day, and they pay on the 3rd day do they need to pay what was due plus $60?), or does it stop adding up, and they have a set amount to pay in the 3 days? I have done numerous google searches and can't find an answer to this part of my question.  This is in Texas, btw. Thanks for all help in advance.