The developers have indicated that simply reloading the game after the crash should correct the problem. According to the developers, they are already working on correcting it, so it is likely that at any time we will have a direct solution, in the meantime the best thing you can do is try to avoid this skin.
This is how this article on how to fix Mel-Spec Bangalore Skin crash in Apex Legends ends, so now that we have reached the end, we hope that the developers will fix this problem in the bud as soon as possible.