I have a similar coffee maker to the one you have posted and use it on my Coleman stove. Works great. Depending on how much ground coffee you put in there, the coffee can get really strong. It’s for making espresso. I basically make a latte with it and add a lot of (hot!) milk.
I also have this reusable coffee filter:
Primula Brew Buddy Portable Pour Over, Reusable Fine Mesh Filter, Dishwasher Safe, Single Serve Coffee or Tea at Any Strength, Ideal for Travel or Camping, Red, 2-Pack
https://www.amazon.com/dp/B08JHF2QB6/ref=cm_sw_r_cp_api_i_Y5NTGED97SYMYXQNTSSP?_encoding=UTF8&psc=1
Add coffee, hang in your mug, pour hot water, maybe let it sit a few seconds - done! Packs super small and you just have to rinse it afterwards. Also works great for loose tea.
You can theoretically just put ground coffee into boiling water, and then let the coffee sink to the ground before carefully pouring it, but then you always end up with coffee „bits“ in your cup.