Skin not displaying on servers [Bug]

[Venator-86th]

Describe the bug

Im using Ely.by for skins and in singleplayerr it works properly (first shows default skin for new versions and loads my skin after a while). But when Im connect to my server it loads steve skin. It means that mod is working, but loads different skin. Im using 1.20.4 fabric and Legacy Launcher for minecraft. I tried to disable Ely.by support in launcher (enabled for default). And in singleplayer my skin loads through Custom Skin Loader, but in server it still loads steve skin. Also tried other random servers from inetrnet, still steve skin.

Steps to reproduce

1. Logged into a single player game, the skin works 
2. Logged into the server - it does not work

Link to crash-report if applicable

No response

Link to CustomSkinLoader.log if applicable

https://mclo.gs/JIf2jcS

Link to latest.log if applicable

No response

[Only Forge User] Link to Forge Log if applicable

No response

Mod Version

14.19.1

Minecraft Version

1.20.4

Minecraft Launcher Name and Version

No response

Mod Loader

Fabric

Operating System

Windows

Before submitting a bug report

• This bug wasn't already reported (I have searched bug reports on GitHub).

• This is a valid bug (I am able to reproduce this on the latest dev build).

• This problem is triggered in the latest version of the mod (if not the latest please upgrade the mod first)

[kiroffYT]

same problem