Custom accessory Texture breaks when equipped to a dummy

[Exarpo]

So my texture works fine on my custom accessory (left), but when parented to a dummy it starts looking like the right picture. For some reason the texture breaks just by parenting it to the dummy. Why is this occuring? Seems like roblox just drastically simplifies the texture leading to it completely breaking.
There has to be a way to create custom accessories without this issue, because accessories usually don’t have random black marks on them, but I have no idea what I’m doing wrong.
NOTE: The same issue (black marks appearing) also occurs simply by moving farther away from the object.

Another image:

[TheGh0stRunner]

You’re right about it simplifying the texture—the fix would be to extend the texture beyond the bounds of the UV map because the smaller image size causes the black border of the texture to blur and bleed into the visible area of the texture

Example of space left between the UV coordinates and border of the texture -