To capture and display timestamps for each in-game communication message in the output window, you can modify the captureGameCommunications function in the Lua code like this:

```lua
-- Create a new output window with a given name
local outputWindow = createTextWindow("Game Communications", "Consolas", 12, 0, 0, 400, 300)

-- Define a function to capture all game communications and display them in the output window
function captureGameCommunications(event, message)
  if event == "comm" then
    -- Get the current time and format it as a timestamp string
    local time = os.date("%H:%M:%S")
    -- Append the timestamp and incoming message to the output window
    cecho(outputWindow, "<white>" .. time .. " " .. message .. "\n")
  end
end

-- Register the function to capture game communications
registerAnonymousEventHandler("comm", "captureGameCommunications")

```

Here, the os.date function is used to get the current time and format it as a timestamp string with the format "%H:%M:%S" (hour:minute:second). Then, the timestamp and incoming message are appended to the output window using the cecho function.
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