Multiple of the same names are sometimes showing up on my gui. How would I only let one show up?

Brick = script.Parent 

Brick.Touched:connect(function(part) 
    if part.Parent.Humanoid then 
        if part.Parent.Humanoid.Health > 0 then 
			wait(0.5)
            part.Parent:MoveTo(game.Workspace.EasyLobby.Position + Vector3.new(0,1,0))
			local plr = game.Players:FindFirstChild(part.Parent.Name)
			game.ReplicatedStorage.Winners.Value = game.ReplicatedStorage.Winners.Value.." "..plr.Name
        end
    end
end)

Hey guys I have a round-based game, and this script is inside of the part, where players touch it, they win

It works fine, but if someone wins, they're name will sometimes be printed more than once. I don't want to add a debounce in time because another player could step on the brick at the same time. Any ideas?

This is a simple mistake, what you did was make it to where it adds the players name every single time the player touches it, which is infinite times per second. What you need to do is add

if game.ReplicatedStorage.WinnersValue.Value ~= plr.Name then
	-- add the same script as before and it should work just fine.
end

Hope I helped.

EDIT: The script must only be around changing the value of the WinnersValue, not the whole script.