I dispute that.
I don't see how you can dispute my position that your argument hasn't convinced me. Are you suggesting that you have convinced and that I've not realised yet? Or that I'm lying? You might think that your argument is logically robust, but that's not the criterion required for stopping me being an atheist, it has to be an argument that convinces me, and so far it's not.
The question then is what counter account for how things are are you convinced of...
In totality, none. I don't pretend to have all the answers. I suspect that a purely naturalistic argument is viable, but I've not seen someone lay it out to convince me of it, I think I'm likely to be more accepting of a claim, but I try to listen to all the arguments.
...and how a perfectly logical argument, namely contingent things are dependent failed to convince you of that argument.
Well, it could be that it's not as logically robust as you think it is, it could be that it's logically robust but based upon flawed premises, it could be that I'm just intellectually or psychologically incapable of grasping your case, it could be that you're somehow not capable of adequately conveying your otherwise robust argument. There are probably other explanations.
Presumably it’s failure to do so prevented you from taking that argument to it’s logical conclusion.
Or its apparent flaws meant I didn't need to.
I on the other hand find counter arguments either not actually arguments for atheism, illogical, or special pleading, or appeal to a particular epistemology or philosophy.
Your logical failure here is that you keep trying to pitch your arguments against the 'strong' atheists who aren't there. We aren't making a case for atheism, we're not just not accepting of your (or anyone else's) case for gods. We don't need to make an argument against a claim for gods that doesn't stand up, any more than we need an argument against cheese-monsters
Given that....what makes your position the more “competent”?
I don't definitively say that it is, I give my arguments and stand by them, I point out what I see as the flaws in other arguments where I see them. I'm not an atheist because my argument is competent, I'm an atheist because yours isn't.
O.