Act on Cure or Quit Notice

This is in the Bay Area in California. It is also a HUD-VASH voucher and a "program" property.

How long does a landlord have to enforce a cure or quit notice? For example, if I received a notice in mid February to cure or quit, afterwards I received no further communication until end of June with a notice they were evicting me. 4 months had passed since the original cure or quit. Would that not waive their ability to move to evict, and they would then need to serve a new notice at the least?