Eblem on Jacket clipping, not sure how to fix this

Hi. This happens because of the difference in polycount. Those emblems have 17k tris, which is a lot for the whole outfit, yet alone a small detail like this. You can try to reduce the polycount dramatically or cut out those parts of the jacket that clip into them.
Keep in mind that if you plan on sharing this garment with other people, it won't work for many of them because the polycount is 10 times higher than the acceptable number.