In most terminal emulators you can also use Shift (or sometimes a different modifier) to bypass application mouse mode and have the terminal emulator handle the mouse event. Of course you can't copy out of the history with this, but that is another limitation of terminal emulators.

Tagline from GitHub:

> Tmux plugin for copying to system clipboard

https://github.com/tmux-plugins/tmux-yank

I could understand if you don't like tmux for other reasons (being a heavy mouse-user for example), that makes perfect sense. It's not for everyone. But if you take some time to understand why some things don't work like you expect it to (like what's the difference between a terminal emulator and tmux, what they have access to and so on) and how you could solve them, you'd avoid the issues you're describing.

But again, tmux is a tool aimed for keyboard users, not mouse. This tool doesn't fit everyone, and that's ok too. If you're willing to try it, you need to understand a few things before it'll work as you expect, otherwise your expectations will be wrong.

tmux-yank copies whatever you selected to the system clipboard (xclip, clip.exe, etc.)