Remapping <C-x> in insert mode causes broken completion

[drowning-cat]

Make sure you have done the following

• Updated to the latest version of blink.cmp
• Searched for existing issues and documentation (try <C-k> on https://cmp.saghen.dev)

Bug Description

Is there any way to remap <C-x> to clear the line in insert mode without affecting the completion system?

blink-remap.mp4

Relevant configuration

vim.env.LAZY_STDPATH = '.repro'
load(vim.fn.system('curl -s https://raw.githubusercontent.com/folke/lazy.nvim/main/bootstrap.lua'))()

-- The culprit
vim.keymap.set('i', '<C-x>', '<C-u>')

---@diagnostic disable-next-line: missing-fields
require('lazy.minit').repro({
  spec = {
    {
      'saghen/blink.cmp',
      build = 'cargo build --release',
      opts = {},
    },
    {
      'neovim/nvim-lspconfig',
      opts = {
        servers = {
          lua_ls = {},
        },
      },
      config = function(_, opts)
        local lspconfig = require('lspconfig')
        for server, config in pairs(opts.servers) do
          config.capabilities = require('blink.cmp').get_lsp_capabilities()
          lspconfig[server].setup(config)
        end
      end,
    },
  },
})

neovim version

NVIM v0.11.0-dev-1742+g66b60fe62b

blink.cmp version

v0.12.3 cc2f10e

[drowning-cat]

I've read a bit of https://neovim.io/doc/user/insert.html#i_CTRL-X and realized I was unlucky enough to outsmart myself by changing <C-x> keymap for clearing the line.
I appreciate if you try to run the non-remapped <C-x> in your code or show me any way to clear the line with <C-x> in insert mode without affecting completion.

[drowning-cat]

local dot_repeat_hack_name = '<Plug>BlinkCmpDotRepeatHack'
local opts = {
  callback = function()
    if vim.api.nvim_get_mode().mode:match('i') then return '<C-x><C-z>' end
    return ''
  end,
  silent = true,
  replace_keycodes = true,
  expr = true,
  noremap = true, -- NEW!
}
vim.api.nvim_set_keymap('i', dot_repeat_hack_name, '', opts)
vim.api.nvim_set_keymap('n', dot_repeat_hack_name, '', opts)
vim.api.nvim_set_keymap('s', dot_repeat_hack_name, '', opts)
vim.api.nvim_set_keymap('v', dot_repeat_hack_name, '', opts)
vim.api.nvim_set_keymap('c', dot_repeat_hack_name, '', opts)