Tenant not paid rent, step for eviction

Hi,

I accepted a tenant at the beginning of December. Here security deposit and most of the first month's rent are supposed to be paid by NJ Victims of Crimes.

Fast forward now:

- she did not pay her rent of January. Keep telling me a sob story about her paycheck getting sent to the previous address ( that was 18 days now, not corrected ).

- still did not receive the check from the NJ Victims of Crimes office.

At this point, I want to file for eviction at the end of the month if she delays the event by 1 day to pay her entire rent ( January and February).

My question to you professional is, should I inform her of that decision in advance? Something like: "Know that if you don't pay your full rent by the 01, I will file for eviction".

Or should I just wait and if she passes the 01th, file for eviction?

Lease: I used the lease provided by the Bigger Pockets podcast.