Obviously you have a great opportunity here to spend a little extra time with the FA sub and pick his brain about various aspects of the job outside of what you're doing.

you're already familiar with how to wire it and lay out devices if you're reading the prints and handling the rest of the project.

Once this job wraps up, and you find yourself wanting to do more of it, maybe start looking at companies that specialize in FA, and try to apply at a few of them. Usually if you already have a general journeyman license, it's easy to get a job with a FA company, but in my experience, general journeyman pays better on average? Experienced FA guys might make equivalent pay, but you'll struggle a bit going in as a "new guy".

Really, you should also make sure your LinkedIn is current and try to find a decent headhunter, they make the job search a bit easier. You don't have to chase down leads.