Cmdline does not work after re-enable Noice with cmdheight=1

[przepompownia]

Did you check docs and existing issues?

• I have read all the noice.nvim docs
• I have searched the existing issues of noice.nvim
• I have searched the exsiting issues of plugins related to this issue

Neovim version (nvim -v)

0996430392eed424666c03b22b002542322d5d08

Operating system/version

Debian Sid

Describe the bug

As in the title: look into the steps below.

Steps To Reproduce

Starting with the minimal init.vim show at the bottom of this report run

NoiceDisable
set cmdheight=1
NoiceEnable

and try to submit any command through Noice input. I cannot.

Why such a strange sequence? I tried to check if I can see notifications about recording using Noice in any way (e.g. with cmdheight=1).

Expected Behavior

Cmdline Noice input could be invulnerable to the flow shown above (independently of the cmdheight value set after enable Noice again).

Repro

local root = vim.fn.fnamemodify("./.repro", ":p")

-- set stdpaths to use .repro
for _, name in ipairs({ "config", "data", "state", "cache" }) do
  vim.env[("XDG_%s_HOME"):format(name:upper())] = root .. "/" .. name
end

-- bootstrap lazy
local lazypath = root .. "/plugins/lazy.nvim"
if not vim.loop.fs_stat(lazypath) then
  vim.fn.system({
    "git",
    "clone",
    "--filter=blob:none",
    "--single-branch",
    "https://github.com/folke/lazy.nvim.git",
    lazypath,
  })
end
vim.opt.runtimepath:prepend(lazypath)

-- install plugins
local plugins = {
  "folke/tokyonight.nvim",
  {
    "folke/noice.nvim",
    dependencies = {
      "MunifTanjim/nui.nvim",
      "rcarriga/nvim-notify",
    },
  },
}
require("lazy").setup(plugins, {
  root = root .. "/plugins",
})

-- add anything else here
vim.opt.termguicolors = true
vim.cmd([[colorscheme tokyonight]])
require("noice").setup({
  -- messages = {
  --   view = 'mini',
  --   view_search = false,
  --   view_error = 'mini',
  --   view_warn = 'mini',
  -- },
  -- notify = {
  --   enabled = true,
  --   view = 'mini',
  -- },
  -- lsp = {
  --   signature = {
  --     enabled = false,
  --   },
  --   hover = {
  --     enabled = false,
  --   }
  -- },
  -- views = {
  --   mini = {
  --     timeout = 5000,
  --   },
  -- },
})

[max397574]

cmdheight must be 0 for some things
I definitely know about ext_messages
perhaps for other ones as well

[folke]

Yeah, I have no control over that. Once ext_messages or ext_cmdline attaches, cmdheight will automatically be zero