DoJ contractor job on hold due to Budget constraint - what happens to Public Trust process?

Greetings All…I was waiting for a Public Trust interim green light on a DoJ (COPS) contracting job after completing e-QIP (SF85P) and fingerprinting; I was then informed by the contracting/hiring company that DoJ (COPS) has placed the job on indefinite hold due to budget constraint.

Question(s): What happens to the Public Trust trust process? Does that continue regardless, or explicitly canceled by sponsor? How do I find out the status? What happens if I apply for another federal position needing Public Trust OR if I choose to continue life in private sector without bothering with Public Trust process?

Apologies for the above cluster, especially if addressed in the past. Thanks in advance for any feedback; Cheers!