It's an accessory, there's no paper to be had.
This would be like requesting permission to put a light on your pistol.
The paper you have for your "other" doesn't make it legal anyway. It's not a legally binding document.
What is your application?
There are stand alone illuminators from great companies that are more than half the price, and go well beyond 100 yards. Surefire makes the v1 vampire that was tested to 150yards and is well under 300 bucks.
Nice... I have an RDO slide. I've been trying to get my hands on an SRO, but every time I get notified of one in stock I miss out. Eventually I'll get one. I did shoot a couple of boxes with an optic I got for another pistol, but can't wait to get something permanent for the Beretta.
I'm not a new gun owner. However, I am new (as of 2020) to purchasing guns (and ammo) as a NJ resident.
I moved to NJ in 2016 knowing the gun laws in NJ sucked. I had to go through the painful process of verifying everything I owned and was brining with me into NJ was legal to own in NJ. This included me whittling a few pistols out of my collection that in their natural unadulterated state used magazines with more than 15 rounds, just because you know... eh... regrets. Now of course all the remaining15 rounders have been neutered to 10. It hurts so much more when things get even worse.
I kinda put my shooting hobby on the back burner for a bit. Being a NJ resident in reality sorta demotivated me towards it. But damn, it's kinda one of my "things". Well F* you NJ. I'm back into it. I'm one of the lucky ones. My town seems pretty 2A friendly. The local PD has never given me any trouble with FID or pistol permits. However, the process is painful, and sad. Oh, how I do miss the days of walking into an LGS and seeing something I liked and just buying it there and walking out 20 minutes later. The fact that anyone can be grateful it only takes 30 days to be allowed to exercise a constitutionally protected right is a sad state of affairs indeed.