So, I started to use this mod and while it looks (sounds) absolutely amazing, every time the music changes I hear that annoying high-pitched "click" sound. Anyone here had the same problem?

I use MGE XE 0.9.10 with internal MWSE and MCP 2.2.

I've been using this mod for years, and have never heard anything like a high pitch click.

I too use the most current MCP, and MGE-xe with the internal MWSE.

Are you using the MCP's "Streammusic/Master Volume Fix" under Bugfixes? That should fix the problem.