My script doesn't return from cooldown?

Alright, so what this script is supposed to do is you activate it and it stays for 10 seconds, then after 10 seconds it deactivates and has a wait time of 45 to use it again whilst naming itself cooldown. But this isn't working, and I feel like it's probably something simple.

local cooldown = true
local tool = script.Parent
local player = game.Players.LocalPlayer

if tool.Activated:Connect() then
	    if cooldown == true then
			script.Parent.Name = "Phase"
	    	game.ReplicatedStorage.Phase:FireServer(true)
			wait(10)
			cooldown = false
	end
end

if cooldown == false then
	game.ReplicatedStorage.Phase:FireServer(false)
	script.Parent.Name = "CoolDown"
	wait(45)
	cooldown = true
end

local cooldown = true
local tool = script.Parent
local player = game.Players.LocalPlayer

script.Parent.Activated:Connect(function()
        if cooldown == true then
            script.Parent.Name = "Phase"
            game.ReplicatedStorage.Phase:FireServer(true)
            wait(10)
            cooldown = false
            if cooldown == false then
              game.ReplicatedStorage.Phase:FireServer(false)
              script.Parent.Name = "CoolDown"
              wait(45)
              cooldown = true
           end
    end
end)

Try this^