Okay. The Priv One is NOT the smok G priv. The smok G priv is an entirely different setup, what you've got is some all in one kit, and on the website it states the coils resistance as 0.6. Whether it will have enough "oomph" at that power level, well, it MAY. But, a 0.6 coil is not generally rated as 25--45 watts, although I'm quite sure it's possible that smok rated it that way, if it's used in other devices.
Are you sure that the coil has a recommendation of 25--45 watts? It's also an all in one kit so you are stuck with what smok offers.
I'm going to say that this was a poor choice for a vape setup if you want large clouds and whatnot. That thing looks more like it's smok's version of a small, portable vape. It's not going to give you big clouds, and if you aren't happy with your vape, there is little you can do to change it, it's the nature of those all in one kits.
If the coils genuinely are printed with that type of resistance, you could bring it back. I'd also suggest a longer drip tip, and one that won't heat up. I won an AIO kit and it gave me crazy spitback until it settled down, but I had to modify what few things I could to make it vapable for me.
Also, I now return to the conclusion that your coil is flooded. There isn't much you can do at this point besides vape through it, as it's a kit with top airflow. My (similar but more MTL lower wattage kit) also flooded in a rather nasty way the first time I filled it. I had to vape through it until it settled down.
If you can find a way to return it, do so. If you can't, keep it as your backup vape and get something more suited to your needs. Check out a lot of kits, mods and tanks, and try to figure out (Baditude has given you good info) what your next vaping "step" might be.
I would avoid smok entirely. I don't think, necessarily, that smok's kit pairing is so awful, but it isn't working FOR YOU and that is what matters. I don't like AIO kits because they are somewhat non adjustable. You can do much, much better for a starting vape, but you need to figure out what TYPE of vape you need, and then choose one. I would choose a non-smok setup, personally, but that is up to you.
Best of luck,
Anna