Make a looped animation stop on another buttonpress?

I understand this title is not very helpful as-is. I hope from what I've shown you can help understand what my error is and maybe help me out.

I have three buttons in a GUI which is given by a morph. Only one button is visible at a time, and the first two buttons play animations. These two are looped animations, and the final is a .1 second, non-looped, no movement animation in an attempt to cease the previous animation. The first two are idle-priority, and the final is action, so the priority has nothing to do with here.

Parent-Child Relationship

Each AnimID is correct and I've checked thrice over. First ID Second ID Third ID

Inside the LocalScript I set up what button activates what animation using this code:

wait(1)
local frame=script.Parent
local user=game.Players.LocalPlayer
repeat wait() until user.Character local char=user.Character
local humanoid=char:WaitForChild("Humanoid")
local anim
function playanim(id)
    if char~=nil and humanoid~=nil then
        local id="rbxassetid://"..tostring(id)
        local oldanim=char:FindFirstChild("LocalAnimation")
        if anim~=nil then
            anim:Stop()
        end
        if oldanim~=nil then
            if oldanim.AnimationId==id then
                oldanim:Destroy()
                return
            end
            oldanim:Destroy()
        end
        local animation=Instance.new("Animation",char)
        animation.Name="LocalAnimation"
        animation.AnimationId=id
        anim=humanoid:LoadAnimation(animation)
        anim:Play()
    end
end
local b1=frame.SP
b1.MouseButton1Down:connect(
function()
    playanim(b1.AnimID.Value)
end)
local b2=frame.SP2
b2.MouseButton1Down:connect(
function()
    playanim(b2.AnimID.Value)
    wait(3)
    anim:Stop()
end)
local b3=frame.BBK
b3.MouseButton1Down:connect(
function()
    playanim(b3.AnimID.Value)
end)
local b4=frame.BBK2
b4.MouseButton1Down:connect(
function()
    playanim(b4.AnimID.Value)
end)
local b5=frame.SP3
b5.MouseButton1Down:connect(
function()
    playanim(b5.AnimID.Value)
    anim:Stop()
end)
local b6=frame.BBK3
b6.MouseButton1Down:connect(
function()
    playanim(b6.AnimID.Value)
end)

Pay no mind to SP, the problem is with the BBK buttons. On button press one, it plays the first animation and executes the following script:

local player = script.Parent.Parent.Parent.Parent.Parent.Parent.Character
local frame = script.Parent.Parent
local button = script.Parent
function onClick(mouse)
    wait(.5)
    player.Chest.Middle.A.BBKC.Enabled = true
    button.Visible = false
    frame.BBK2.Visible = true
end
script.Parent.MouseButton1Down:connect(onClick)

The second button is then pressed, executing this script:

local player = script.Parent.Parent.Parent.Parent.Parent.Parent.Character
local frame = script.Parent.Parent
local button = script.Parent
function onClick(mouse)
    wait(.5)
    player.Chest.Middle.A.BBKC.Enabled = false
    player.Chest.Middle.B.BBK.Enabled = true
    button.Visible = false
    frame.BBK3.Visible = true
end
script.Parent.MouseButton1Down:connect(onClick)

Both of these scripts work fine, and the third script on button three is executed:

local player = script.Parent.Parent.Parent.Parent.Parent.Parent.Character
local frame = script.Parent.Parent
local button = script.Parent
function onClick(mouse)
    wait(.5)
    player.Chest.Middle.B.BBK.Enabled = false
    button.Visible = false
    frame.BBK.Visible = true
end
script.Parent.MouseButton1Down:connect(onClick)

This script works fine, however the animation from button two will not stop. Can anyone help me make the animation stop on the third button press?