Buy a cartridge only from reputable brands who actually made them, not from the brands like LP Gear who does not make them, they often sells fake styli for well known cartridges (i’ve seen it many times and their styli does not look like my originals for certain cartridges, it was easy to compare them visually). LP gear is not the manufacturer. Most of the cartridge manufacturers are in Japan, so various brand just ordering their cartridges from Japan with their logo on it, but such brands does not design cartridges, they are not a cartridge designers. They are doing it just to make profit, not because they want to invent something new and interesting.
So if you want something interesting you have to look for well known brands in cartridge design, it can be American, Australian, German, Swiss or Japanese brands.
You could use an MC, but only with external SUT + MM phono stage (or with external Headamp + MM phono stage).
However, total cost of the nice MC with nice SUT is much higher than for a decent MM or MI cartridge. Also you can’t swap the stylus on MC cartridge (only re-tip).
Also spending much for a cartridge on this cheap lightweight plastic belt drive turntable is not a good idea, the tonearm does not have adjustments, it can be too complicated to adjust a cartridge on this cheap tonearm, you can’t even change the VTA as far as i know, so stay away from expensive cartridges.
The idea to look for MM is good idea.
But what is your budget ?
As you know many people prefer NOS tubes and they are almost always better than NEW modern tubes (i tried many). Same about most of the modern MM cartridges, for some reason they are not better than NOS vintage cartridge from the golden analog era (70s/80s) when MM was a king!
Few years ago i installed Stanton 881s mkII Stereohedron on the same turntable, i also did it for a friend. He was more than happy with Stanton 881s, the stock ortofom M2 Red sound like garbage in comparison with Stanton 881s which is not even the best Stanton from the golden era.
Read this article first, then you will understand why they are so good.
Pickering XSV/3000 is a twin brother of Stanton 881s, but for the Pro-Ject tonearm slightly lower compliance (mid compliance) would be even better, there was a special version of Pickering XSV/3000 with lower compliance (15cu instead of 30cu), that version was made since 1989 and it was
Pickering XSV/3000SP. You will find more online. It’s not a problem to find NOS sample of XSV/3000, but the 3000SP is very hard to find, but it’s better match for Pro-Ject arm.
Over decades audiogon members shared personal experience about vintage MM cartridges, many people compared them to very expensive LOMC. Taking in count the price difference many a’gon member prefered vintage MM to expensive MC. You can find all information on audiogon. For me it was very interesting reading for a few years :))
Some of the top MM for moderate price are: Stanton 881s, Pickering XSV/3000 and 4000, Garrott P77, Victor X-1IIe, Grace F9, AT-ML150 OCC, Ganz 31L and Astatic MF200, Jeweltone or Nagaoka MP-50, Pioneer PC-1000 mkII ... and with a higher models from the same brands you can get absolutely the best MM cartridges, but for much higher price than vintage ones.