Minecraft Capes don't work through "Capes" mod

[pvpincarnate]

Describe the issue

The capes that are provided through "Minecraft Capes" do not work through the "Capes" mod; they just appear as a normal cape. Other capes, like the Optifine cape, seem to work fine.

Relevant log output

https://mclo.gs/Jg2OpSZ

SkinShuffle version

2.9.1+1.21.5

Extra information

When using the standalone "Minecraft Capes" mod the capes appear as they should