Sig P938 accuracy issues

I don't consider myself a terrible shot (though others might!), but I cannot get this damn sig to shoot straight to save my life- which is not as much a figure of speech as you'd think, since this is a carry pistol. I shoot a lot of small handguns, and haven't had any issues handling or shooting accurately until now, so I'm hesitant to chalk my experience with this Sig Sauer (the most expensive pistol I've ever purchased) up to clumsy shooting until I ask some opinions on here and maybe call Sig and pick their brain.

I have put around 200 rounds through it either one handed standing, two handed standing, sitting, sitting with a rest, etc, and have had the same results. I tried using the pad of my finger, the bend of my finger, and only the tip of my finger with not much variation. Maybe I just need more practice, but so far I am NOT thrilled with the 1 foot+ spread of this thing at 10-15 yards. My LCP outshoots this (or maybe, I outshoot myself using the p938 with the LCP) hands down, even quick draw and rapid fire.

Any tips to ensuring it's not just me? I'm sure it probably is, but that still may make me trade the gun for something I can fire more accurately and instinctively.

Target picture was at about 10 yards, maybe just over.

Ive ordered a 20lb hammer spring. We will see if a gentler trigger helps me out on this. Im assuming the problem lies behind the gun (as usual), but a lighter trigger should make things easier on me.

No offense taken at all, fellas. I'm no expert marksman. I can also relate with another poster above who said they are more familiar with revolvers. I basically always shoot revolvers, particularly single action armies, and I haven't owned a non-DA auto for two or three years until now. Just gonna take practice with this heavy single action pull I think.

update to this situation, however:

I put a foam earplug under my hammer (don't have snap caps) and dry fired for fifteen minutes or so last night, getting used to where the trigger breaks. Took her out today and shot an actual pattern! I could probably cover it with my hand, which is acceptable to me at 15 yards. It did, however, pattern slightly high and left. I assume this indicates I'm gripping the trigger incorrectly still? This gun is much more picky than my kel tecs or rugers have been.

Another issue is that after 50 rounds or so, I had a fail to fire- appears that the firing pin got stuck??? I pulled the trigger and recocked 3 times before it finally went off. Scary... I cleaned and lubed it when I got home. Hopefully that doesn't happen again.

I should add, the primer was NOT hit at all. I ejected the round, and fired three times on the subsequent round before getting ignition. After that, the gun functioned flawlessly again for the remainder of the session (around 125 rounds).