The VG Resource

So this game I've been ripping from has some after touches done in-game (prior to conversation) on a few specific areas of some models, where anything off-centre (i.e. where tiling of the texture would normally begin) of the texture has some sort of overlay mask, and naturally, this feature doesn't carry on outside the game.

Here is how it should look: https://s5.postimg.org/hhroycc07/Info.png
Here is how it actually looks: https://s5.postimg.org/f4x6nexfr/Info_ISpam.png

I got the first method by disabling tiling, and the program magically did its work to make it disappear when rendering, but this obviously won't apply for every application.
What is the best method to go about tackling this issue so it would be in a usable condition? I'm considering uploading these models, so.
It's totally possible I can make a custom texture that fits with a bit of work, but the texture dimensions we be wonky and not a standard ^2 resolution, I'm not sure how much that matters.

I'm pretty sure you will have to make a custom texture that will cover the whole mesh and put the sign right where it should be. It wouldn't be too hard if you used the original UV as a guide

Alright, well I was hoping for opinions and suggestions from more than one user, but thanks for your advice anyway!