Answers to these questions might help figure out solutions:

How old were you when you started ADT?

What was your testosterone level right before starting ADT?

What was the lowest yiur testosterone reached while on ADT?

How long were you on ADT?

Which ADT were you on?

If your PSA is undetectable or has been at its nadir for 3 years, perhaps TRT can be initiated.
Of course, it would have to be determined if you are an appropriate candidate.
I took from your post that you have been OFF ADT for the past 3 years, not still on it 3 years running.
If you are still on it, what is the reason for the lengthy duration?
Phil

as @brianjarvis says, the group's answers may in part depend on the questions he raises.

Recovery of one's T is a function of a variety of clinical factors...
Age
Baseline T
ADT agents
Length of systemic therapy.

So, you have more or less, "hypogonadism..!

The question, what to do?

Live with it?
TRT

The latter of course goes against the adage, "testosterone is fuel for the fire.."

Under that adage, the fact that your T is at 160 would indicate your PCa should be back, you say it's not.

My experience also casts doubt on that adage. Both times I went through systemic therapy for a defined period, my T recovered to 400+ in six months. Yet, my first vacation lasted five years, the second one is at 24 months and continues...

Yes, I felt better at 400+!

Consider discussing TRT with your medical team. If they say no, citing the adage that the fire adage, get 2nd and 3rd opinions.

Discuss to what level you are looking to achieve with TRT, 300 or below is perhaps not the goal but neither is 1000+.

If TRT is in play, discuss the monitoring plan, frequency and type of labs, consults and imaging.

Also, discuss what clinical data would constitute sufficiency to resume treatment.

The question of what that treatment is can wait until you have the clinical data on which to make that decision.

Kevin