How to use GenServer with Bandit?

Hello

I’m struggling to get GenServer working with Bandit.
I’d like to build a simple chat server, with a POST / endpoint which enables the user to add a message, and a GET / endpoint which enables the user to list all existing messages.

This entails having some way to store the messages on the server.
From looking around it seems that GenServer

is the simplest way to this, so I tried using that.
My (very noob) code can be found here:

Basically, in lib/wusup.ex I have my handlers defined, and in lib/wusup/messages.ex I’ve tried to implement the message list following the documentation of the GenServer module.

# lib/wusup.ex
defmodule Wusup do
  use Plug.Router
  require Logger
  require EEx

  EEx.function_from_file(:def, :index, "client/index.html.eex", [:messages, :who])

  plug :match
  plug :dispatch

  get "/" do
    Logger.info("GET /")
    pid = GenServer.whereis(Wusup.Messages)
    messages = Wusup.Messages.list(pid)
    html_string = index(messages, "Ariel")
    Logger.info(html_string)
    put_resp_content_type(conn, "text/html")
    send_resp(conn, 200, html_string)
  end

  post "/" do
    Logger.info("POST /")
    GenServer.call(Messages, {:post, "new message :)"})
    # TODO
  end

  match _ do
    Logger.warning("unknown path: #{conn.request_path}")
    send_resp(conn, 404, "Not found")
  end
end

# lib/wusup/messages.ex
defmodule Wusup.Messages do
  # implement basic GenServer message store
  use GenServer

  # client side
  def start_link(default) do
    GenServer.start_link(__MODULE__, default)
  end

  def list(pid) do
    {:reply, output, _} = GenServer.call(pid, :list)
    output
  end
  

  # server callbacks
  @impl true
  def init(elements) do
    initial_state = String.split(elements, ".", trim: true)
    {:ok, initial_state}
  end

  @impl true
  def handle_call(:list, _from, state) do
    output = state
    {:reply, output, state}
  end

  @impl true
  def handle_cast({:post, message}, state) do
    new_state = [message | state]
    {:noreply, new_state}
  end

end

My lib/wusup/application.ex file, which in theory should be helping the two modules play well together, is

# lib/wusup/application.ex
defmodule Wusup.Application do
  # See https://hexdocs.pm/elixir/Application.html
  # for more information on OTP Applications
  @moduledoc false

  use Application

  @impl true
  def start(_type, _args) do
    children = [
      {Bandit, plug: Wusup, scheme: :http, port: 4000},
      {Wusup.Messages, "test message 1, test message two, gansta"}
    ]

    opts = [strategy: :one_for_one, name: Wusup.Supervisor]
    Supervisor.start_link(children, opts)
  end
end

However, when I run the code and try to access localhost:4000 with my browser, I get the following error:

15:32:22.486 [error] ** (exit) exited in: GenServer.call(nil, :list, 5000)
    ** (EXIT) no process: the process is not alive or there's no process currently associated with the given name, possibly because its application isn't started
    (elixir 1.17.3) lib/gen_server.ex:1121: GenServer.call/3
    (wusup 0.1.0) lib/wusup/messages.ex:11: Wusup.Messages.list/1
    (wusup 0.1.0) lib/wusup.ex:14: anonymous fn/2 in Wusup.do_match/4
    (wusup 0.1.0) deps/plug/lib/plug/router.ex:246: anonymous fn/4 in Wusup.dispatch/2
    (telemetry 1.3.0) /home/ariel/wd/wusup/deps/telemetry/src/telemetry.erl:324: :telemetry.span/3
    (wusup 0.1.0) deps/plug/lib/plug/router.ex:242: Wusup.dispatch/2
    (wusup 0.1.0) lib/wusup.ex:1: Wusup.plug_builder_call/2
    (bandit 1.8.0) lib/bandit/pipeline.ex:131: Bandit.Pipeline.call_plug!/2

so it seems like I’ve made some basic error with processes here.
How can I fix it?

Also, if there is any documentation (besides the official Elixir docs) or examples/tutorials y’all could recommend, or if y’all have any tips for improving my codebase, please don’t hesitate to let me know