Hi! Someone above already quoted part of my response from my Reddit thread,
"The exact date/time of when the next block of time slots/reservations get released for the bell towers has been slightly inconsistent, but as of now generally speaking, around the 3rd week of the month, the next block of time slots/reservations get released, for dates/times 50-80 days out."
...but I realize I may not have explained it very well!
So for example: Around the 3rd week of February, the block of time slots/reservations will get released for dates/times between the 2nd week of April until the 1st week of May. Then, around the 3rd week of March, the block of time slots/reservations will get released for dates/times between the 2nd week of May until the 1st week of June. And so on.
But which exact dates fall within the 3rd week of the month can vary between months, so another approach is to check the website/reservation system between the 15th-20th of the month, for the next block of time slots.
Due to the limited number of time slots available, I strongly recommend buying tickets at least 2 weeks in advance (3-4 weeks in advance during peak season), especially if you have a specific date/time of when you want to visit!
(And here's the link to the full Reddit thread: https://www.reddit.com/r/ParisTravelGuide/comments/1lojm4u/the_reopening_of_the_notre_dame_bell_towers/)