refactor(tui): remove unread terminal environment fields (#52991)

packages/tui/src/app.tsx

@@ -329,12 +329,6 @@ export const run = Effect.fn("Tui.run")(function* (input: TuiInput) {
                             <TuiTerminalEnvironmentProvider
                               value={{
                                 platform: process.platform,
-                                multiplexer: process.env.TMUX ? "tmux" : process.env.STY ? "screen" : undefined,
-                                displayServer: process.env.WAYLAND_DISPLAY
-                                  ? "wayland"
-                                  : process.env.DISPLAY
-                                    ? "x11"
-                                    : undefined,
                                 variables: input.environment,
                               }}
                             >

packages/tui/src/context/runtime.tsx

@@ -15,8 +15,6 @@ export type TuiPaths = Readonly<{
 
 export type TuiTerminalEnvironment = Readonly<{
   platform: string
-  multiplexer?: "tmux" | "screen"
-  displayServer?: "wayland" | "x11"
   variables?: Readonly<Record<string, string>>
 }>