How to get the output of scripts?

How can I get the output of scripts, not just errors, but also if print() is being called, the output of that. The code I have right now only checks for errors.

game:GetService("ScriptContext").Error:connect(function(msg,stack,source)
    if source == script then
        msg = string.gsub(msg,"Workspace.loadcode.Compiler","LuaVM")
        msg = string.gsub(msg,"@compiled-lua","@loadstring")
        msg = string.gsub(msg,"compiled-lua","@loadstring")
        local message = msg
        log("bad",message)
        game:GetService("ReplicatedStorage").PostDiscord:InvokeServer(message,"error",false)
    end
end)