1. For Windows, download MobaXterm or Xming; for Mac, download XQuartz as the X server. After downloading, open the application.

Note that on Mac XQuartz works after I uncheck the Enable Syncing, and check it back again. Link And tmux doesn't work well on Mac's default Terminal.app. For sharing clipboard you need to install tmux-yank plugin

2. In the server's SSH configuration file located at /etc/ssh/sshd_config, enable X11Forwarding yes.
3. Based on personal experience, use the X server address provided in MobaXterm and set the Windows environment variable $env:DISPLAY to that address. This can be done in Edit System Environment Variables.

# configure
PS C:\Users\Sberm> $env:DISPLAY="127.0.0.1:0.0"

# check
PS C:\Users\Sberm> echo $env:DISPLAY
127.0.0.1:0.0

4. Use ssh -Y @ for X forwarding (or ssh -X @; my Windows computer cannot use this).
5. It is required to use a vim that supports X11. I'll use Neovim because it comes with everything, making the installation convenient. On CentOS, you can use gvim (on Ubuntu, it's called vim-gtk). They support X11 clipboard functionality.

# centos
yum install vim-X11.x86_64

# ubuntu
sudo apt-get install vim-gtk

check if gvim supports X11(vim usually doesn't support by default)

> gvim --version | grep clipboard
+clipboard         +jumplist          +persistent_undo   +virtualedit
-ebcdic            +mouseshape        +statusline        +xterm_clipboard

The presence of a plus sign (+) before xterm_clipboard indicates support. Additionally, it must support the system clipboard (+clipboard). The vim-enhanced package installed via yum on my CentOS 8 system does not natively support clipboard functionality.

5. Also install xclip or xsel for X11 clipboard sharing.

6. Open the editor with gvim -v (or vimx). In gvim, use the following command to copy to the system clipboard. Enjoy!

" copy
%y+ " (visual) (if nothing gets selected, copy all the text)
"+y " (normal)
"*y " (normal)
:"+y " (visual)
:"*y " (visual)

" paste
<ctrl + r>+ (insert)
"+p " (normal)
"*p " (normal)
:"+p " (visual)
:"*p" (visual)