make WezTerm keybinding issue Ctrl+L instead when run from a Zellij pane

When multiple sessions are active, Zellij requires the name of a session to send actions to.

Alas a WezTerm pane does not inherit a shell's environment and therefore cannot use the ZELLIJ_SESSION_NAME environment variable.

wez/wezterm#5906
zellij-org/zellij#3581
zellij-org/zellij#2100

home/wezterm/config/key_bindings.lua

@@ -3,18 +3,13 @@ return function(config)
   local action = wezterm.action
   local mod = "ALT|SHIFT"
 
-  local function zellij(args)
-    os.execute("/etc/profiles/per-user/" .. os.getenv("USER") .. "/bin/zellij " .. args)
-  end
-
   config.keys = {
     {
       mods = "CMD|SHIFT",
       key = "K",
       action = wezterm.action_callback(function(window, pane)
         if pane:get_foreground_process_info()["name"] == "zellij" then
-          zellij("action clear")
-          zellij("action write 12") -- 12 -> ^L
+          window:perform_action(action.SendKey { mods = "CTRL", key = "L" }, pane)
         else
           window:perform_action(
               action.Multiple {