@callback_query_handler what am I doing wrong?

Question

Bots

You need to make a simple bot that makes a poll and saves the answers to an array.
I do it with several nesting levels of buttons, I get two levels, but then I don’t understand, I don’t go to the next function.
there is an error at the end of the second function, how to rewrite bot.send_message(call.message.chat.id, mes_machine, reply_markup=buttons_machine) correctly so that it transfers to the processing of the third function?

@bot.message_handler(commands=['start'])
def selects_an_employee(message):
    """Функция, которая отвчает за вывод кнопок с сотрудниками"""
    mes = 'Сотрудник'
    buttons_employee = get_buttons(list_of_employees)

    bot.send_message(message.chat.id, mes, reply_markup=buttons_employee) 

@bot.callback_query_handler(func=lambda call: True)
def selects_the_machine(call):
    """Функция, которая отвечает за выбор станка"""
    mes_machine = 'Станок'
    buttons_machine = get_buttons(list_of_machines)

    bot.send_message(call.message.chat.id, mes_machine, reply_markup=buttons_machine)  # вывод меню пользователю


@bot.callback_query_handler(func=lambda callback_data: True)
def selects_a_part(call):
    """Функиця которая принимает список с наваниями деталей, выводит их на экран, и возвращает выбранную"""
    mes_part = 'Деталь'
    buttons_parts = get_buttons(list_of_parts)

    # bot.send_message(message.chat.id, mes, reply_markup=buttons_machines)
    bot.edit_message_text(chat_id=call.message.chat.id, message_id=call.message.message_id, text=mes_part,
                          reply_markup=buttons_parts)

Answer 1

Python reads your code from top to bottom, and it passes the call to the first callback_handler (in fact, it should be the only one).
See callback.data for more details on using inline keyboards and passing functions to them.
Possible solution to your problem:

...
@bot.message_handler(commands=['start'])
def selects_an_employee(message):
    """Функция, которая отвечает за вывод кнопок с сотрудниками"""
    mes = 'Сотрудник'
    buttons_employee = get_buttons(list_of_employees)

    bot.send_message(message.chat.id, mes, reply_markup=buttons_employee) 

@bot.callback_query_handler(func=lambda call: True)
def callback_worker(call):
    if call.data == 'stanok': # если callback кнопки равен этому значению
        mes_machine = 'Станок'
        buttons_machine = get_buttons(list_of_machines)

        bot.send_message(call.message.chat.id, mes_machine, reply_markup=buttons_machine)  # вывод меню пользователю

    if call.data == 'detal': # условие, аналогичное условию выше
        mes_part = 'Деталь'
        buttons_parts = get_buttons(list_of_parts)

        # bot.send_message(message.chat.id, mes, reply_markup=buttons_machines)
        bot.edit_message_text(chat_id=call.message.chat.id, message_id=call.message.message_id, text=mes_part,
                          reply_markup=buttons_parts)
...

It would also be interesting to look at the get_buttons() function.