It's a combination of things, but those guns are pretty easy to recognize.
Chris from ARMTAC is a friend of mine. We shoot at the same range. I've seen photographs of what his shipment of the 15 guns from Belgium looked like. The pre-order was in October of last year. The guns went out to the buyers in January of this year.
They are not actually marked with anything indicating Belgian police but, as I say, I know the guy that imported them, and that is where he bought them from. My Belgian gun is an "IG" (1986), as is yours. Your gun is less than 300 serial numbers away from mine. It also has very similar wear to the top of the slide, the rear sight, and the grips, particularly on the right grip. They were all like that in the shipment of 15.
The sort of dusty/almost phosphate-looking mag you got with yours, that is what all the mags in that shipment looked like - and each gun only came with one. The P7M13 and P7M10 mags you see most other places do not look like that. They are a dark black, and shiney, like this:
The main thing though is that all the guns from that ARMTAC shipment have no U.S. import markings. U.S. law has required these markings for decades now. All the HKs you see in the States will have some kind of markings indicating the importer, and upwards of 95% of what we see in Canada for HKs will also have these U.S. importer markings because they went through the U.S. first before coming to Canada. The older P7s will usually be marked "HK Inc. Arlington, VA", "HK Inc. Sterling, VA", "HK Chantilly, VA" or something similar to that. Depends where the U.S. branch of HK was located at the time. This one below is not mine, but it was an M13 that sold here on CGN recently. It is an "IE" (1984) that has the Chantilly markings:
Later on they did other things for the U.S. imported guns. P7M8's would have a "16" prefix to the serial number, like "16-10###X". The M13's had a "17" prefix, etc.
There are, of course, some other older P7s in Canada that don't have U.S. markings (I have a P7M8 like that which was imported directly from Germany by one of the members of CGN back in the day) but they are not very common.
The odds of an "IG", no U.S. markings, P7M13 with one dusty/phospate-looking magazine, with holster wear to the top of the slide and the right grip, close in serial numbers to the other Belgian police guns just randomly showing up on the EE in the months after that shipment are... pretty much zero.
Your gun is definitely one of the 15 Chris imported from Belgium. There is nothing wrong with that. They are great guns in great shape. I personally think $1,500 is a bit high, especially considering that the guy that sold it to you flipped it after just 3 months and made $500, but - believe me I understand how hard these things can be to find at ANY kind of decent price these days. At the end of the day a few hundred dollars is not a big deal, and you will get a ton of enjoyment out of that M13. Good shooting. I have found mine to be as good a shooter as any P7 I have ever shot.