How to do when a player dies to be removed from a table?

if game.Workspace.GameMode.Value == "FFA" then  --FFA gamemode
			local spawnsTable = {}
			for i, v in pairs(chosenClone.Spawns:GetChildren()) do
				if v.Name == "Spawn" then
					spawnsTable[#spawnsTable + 1] = v
				end
			end
			local playersAlive = {}
			for i, v in pairs(game.Players:GetPlayers()) do
				if v.Character.Humanoid.Health == 0 then return end
				v.Character:MoveTo(spawnsTable[math.random(1, #spawnsTable)].Position)
				local sword = game.ReplicatedStorage.ClassicSword:Clone()
				sword.Parent = v.Backpack
				playersAlive[#playersAlive + 1] = v
			end
			
			for i, v in pairs(playersAlive) do
				v.Character.Humanoid.Died:Connect(function()
					table.remove(playersAlive, i)
				end)
			end
			
			while true do
				wait()
				if #playersAlive > 1 then return end
				break
			end
			
			editGUI("ChangeText", playersAlive[1].Name.." wins!")
			wait(3)
			chosenClone:Destroy()
			playersAlive[1]:LoadCharacter()
end

I am trying to make a sword fighting game (the script is too long so i did not include it all,just the important part). The problem is that when a player dies, it does not gt removed from the playersAlive table, and the round will not end. Can someone please fix my code or find a more efficient way to do this? Thanks.

I think something like this would work, this would remove the character from the table and replace it with nil(basically doesn't exist).

for i, v in pairs(playersAlive) do
    v.Character.Humanoid.Died:Connect(function()
        playersAlive[i] = nil
    end)
end

I think the main issue was with the while loop, specifically the use of return instead of continue. I made a lot of changes here and there and did my best to explain each one.

local sword = game.ReplicatedStorage.ClassicSword

if workspace.GameMode.Value == "FFA" then
    --Use GetChildren() to return an array of the spawns

    local spawnsTable = chosenClone.Spawns:GetChildren())

    local playersAlive = {}

    for _, player in ipairs(game:GetService("Players"):GetPlayers()) do
        local character = player.Character

        if not character then
            continue
        end

        table.insert(playersAlive, player) --table.insert shifts the table

        --connect the died event here, dont make a new loop
        --edit: table.find returns an index, useful for removing them

        character.Humanoid.Died:Connect(function()
            table.remove(playersAlive, table.find(playersAlive, player))
        end)

        player.Character:SetPrimaryPartCFrame(spawnsTable[math.random(1, #spawnsTable)].CFrame)

        sword:Clone().Parent = player.Backpack
    end

    --main issue here, the use of return was unneeded and dont use wait()

    while true do
        wait(1)

        if #playersAlive < 2 then
            break
        end
    end

    --check if playersAlive[1] exists in the case of a tie

    local winner = playersAlive[1]

    if winner then
        editGUI("ChangeText", winner.Name .. " wins!")

		wait(3)
		
		winner:LoadCharacter()
    else
        editGUI("ChangeText", "There was a tie!")
    end

    chosenClone:Destroy()
end