When a zombie touches a part which makes GUI visible, it makes it visible for everyone?

Good day, hope you are doing well.

Basically, I think the issue is happening because you are connecting the touch event to the brick itself. This means that the event fires, when anybody touches the brick.

Instead, you have to check if that individual player touched that brick.

script.Parent.Frame.Visible = false

local brick = workspace.Shop
local player = game.Players.LocalPlayer

local debounce = false

brick.Touched:Connect(function(hit)
	if hit and hit.Parent:FindFirstChild("Humanoid") then
		local humanoid = hit.Parent:FindFirstChild("Humanoid")
		if humanoid.Parent.Name == player.Name then
			if debounce == false then
				debounce = true
				script.Parent.Frame.Visible = true
			end
		end
	end
end) 

brick.TouchEnded:Connect(function(hit)
	if hit and hit.Parent:FindFirstChild("Humanoid") then
		local humanoid = hit.Parent:FindFirstChild("Humanoid")
		if humanoid.Parent.Name == player.Name then
			if debounce == true then
				debounce = false
				script.Parent.Frame.Visible = false
			end
		end
	end
end)

I tried replicating this scenario in Roblox Studio, and this is what worked for me. The debounce variable is optional, but I would keep it to yield more accurate results and for performance.