How to make a gui not appear while you're in a dialog?

Hello. I'm trying to make a dialog system with an NPC where I use magnitude to detect if the player is close to the NPC. If he is, then he has to press e and a gui will show up showing "press e to interact". Everything works fine, but while the npc is chatting, the interact gui keeps appearing.

-- Script inside the model
local UIS = game:GetService("UserInputService")
local debounce = false
local modelName = "Dave"
local model = script.Parent
local interact = game.ReplicatedStorage.Interact
local dialog = game.ReplicatedStorage.Dialog

local dist = 5

while true do
    for _, v in pairs(game.Players:GetChildren()) do
        local char = v.Character or v.CharacterAdded:Wait()
        local playerGui = v:WaitForChild("PlayerGui")

        if (char:WaitForChild("HumanoidRootPart").CFrame.p - model.HumanoidRootPart.CFrame.p).magnitude <= dist then
            game.ReplicatedStorage.Remotes.TalkDave:FireClient(v, dist)
        else
            interact.Parent = game.ReplicatedStorage
        end

        wait()
    end
    wait()
end

-- Local script in startergui
local UIS = game:GetService("UserInputService")
local debounce = false
local modelName = "Dave"
local model = game.Workspace.Dave
local interact = game.ReplicatedStorage.Interact
local dialog = game.ReplicatedStorage.Dialog

local player = game.Players.LocalPlayer

game.ReplicatedStorage.Remotes.TalkDave.OnClientEvent:Connect(function(dist)
    local char = player.Character or player.CharacterAdded:Wait()
    local playerGui = player:WaitForChild("PlayerGui")
    local humanoid = char:WaitForChild("Humanoid")

    if dialog.Parent == playerGui then
        interact.Parent = nil
    end

    if (char:WaitForChild("HumanoidRootPart").CFrame.p - model.HumanoidRootPart.CFrame.p).magnitude <= dist then
        interact.Parent = playerGui

        UIS.InputBegan:Connect(function(input)
            if input.KeyCode == Enum.KeyCode.E and not debounce and interact.Parent == playerGui then               
                debounce = true

                humanoid.WalkSpeed = 0
                interact.Parent = nil
                dialog.Parent = playerGui

                local message = "Life in Saffron Village is so cool! We have a forest where we get our food from, and beyond the forest is Port Savaria, where we can go to other towns and cities."

                dialog.NameBox.TextLabel.Text = modelName

                for i = 1, #message do
                    dialog.Text.TextLabel.Text = string.sub(message, 1, i)
                    wait()
                end

                dialog.Continue.Visible = true
                dialog.Cancel.Visible = true

                dialog.Continue.MouseButton1Down:Connect(function()
                    dialog.Continue.Visible = false
                    dialog.Cancel.Visible = false
                    dialog.NameBox.TextLabel.Text = ""
                    dialog.Text.TextLabel.Text = ""
                    dialog.Parent = game.ReplicatedStorage
                    interact.Parent = game.ReplicatedStorage

                    humanoid.WalkSpeed = 30
                end)

                dialog.Cancel.MouseButton1Down:Connect(function()
                    dialog.Continue.Visible = false
                    dialog.Cancel.Visible = false
                    dialog.NameBox.TextLabel.Text = ""
                    dialog.Text.TextLabel.Text = ""
                    dialog.Parent = game.ReplicatedStorage
                    interact.Parent = game.ReplicatedStorage

                    humanoid.WalkSpeed = 30         
                end)
            end

            wait(1)
            debounce = false
        end)
    else
        interact.Parent = game.ReplicatedStorage
    end
end)

I am aware of the while loop from the server script that causes it, but I can't find a way to make the interact gui stop appearing while in dialog.