nvim pager for kitty history

kitty+page.lua

return function(INPUT_LINE_NUMBER, CURSOR_LINE, CURSOR_COLUMN)
  print('kitty sent:', INPUT_LINE_NUMBER, CURSOR_LINE, CURSOR_COLUMN)
  vim.opt.encoding='utf-8'
  vim.opt.clipboard = 'unnamed'
  vim.opt.compatible = false
  vim.opt.number = false
  vim.opt.relativenumber = false
  vim.opt.termguicolors = true
  vim.opt.showmode = false
  vim.opt.ruler = false
  vim.opt.laststatus = 0
  vim.o.cmdheight = 0
  vim.opt.showcmd = false
  vim.opt.scrollback = INPUT_LINE_NUMBER + CURSOR_LINE
  local term_buf = vim.api.nvim_create_buf(true, false);
  local term_io = vim.api.nvim_open_term(term_buf, {})
  vim.api.nvim_buf_set_keymap(term_buf, 'n', 'q', '<Cmd>q<CR>', { })
  vim.api.nvim_buf_set_keymap(term_buf, 'n', '<ESC>', '<Cmd>q<CR>', { })
  local group = vim.api.nvim_create_augroup('kitty+page', {})

  local setCursor = function()
    vim.api.nvim_feedkeys(tostring(INPUT_LINE_NUMBER) .. [[ggzt]], 'n', true)
    local line = vim.api.nvim_buf_line_count(term_buf)
    if (CURSOR_LINE <= line) then
      line = CURSOR_LINE
    end
    vim.api.nvim_feedkeys(tostring(line - 1) .. [[j]], 'n', true)
    vim.api.nvim_feedkeys([[0]], 'n', true)
    vim.api.nvim_feedkeys(tostring(CURSOR_COLUMN - 1) .. [[l]], 'n', true)
  end

  vim.api.nvim_create_autocmd('ModeChanged', {
    group = group,
    buffer = term_buf,
    callback = function()
      local mode = vim.fn.mode()
      if mode == 't' then
        vim.cmd.stopinsert()
        vim.schedule(setCursor)
      end
    end,
  })

  vim.api.nvim_create_autocmd('VimEnter', {
    group = group,
    pattern = '*',
    once = true,
    callback = function(ev)
        local current_win = vim.fn.win_getid()
        for _, line in ipairs(vim.api.nvim_buf_get_lines(ev.buf, 0, -2, false)) do
          vim.api.nvim_chan_send(term_io, line)
          vim.api.nvim_chan_send(term_io, '\r\n')
        end
        for _, line in ipairs(vim.api.nvim_buf_get_lines(ev.buf, -2, -1, false)) do
          vim.api.nvim_chan_send(term_io, line)
        end
        vim.api.nvim_win_set_buf(current_win, term_buf)
        vim.api.nvim_buf_delete(ev.buf, { force = true } )
        vim.schedule(setCursor)
    end
  })
end

kitty.conf

# ...
scrollback_pager nvim -u NONE -R -M -c 'lua require("kitty+page")(INPUT_LINE_NUMBER, CURSOR_LINE, CURSOR_COLUMN)' -  
# ...

Does anyone know how to kitty_mod+g (less the previous command) work when using tmux ? It seems impossible to do that due to kitty limitation. are there any alternative method to quick look back the top of previous command? Thanks