How to handle requests from 2 or more accounts at the same time?

Question

Python

Good day! When creating a bot, I encountered such a problem that when sending messages from two different VK accounts, the bot works sequentially, that is, it’s the same as if I wrote to the bot from one account. For example, if User 1 in the menu has reached the selection of projects (in the project1 code, etc.), and User 2 is in the game selection menu (in the game1 code, etc.) and User 2 selects, for example, game1, then he goes directly to the server selection menu ( in the server1 code, etc.), although, logically, I should have gone to the project selection menu.
How can this problem be solved?
I use libraries: asyncio and aiovk

async def main():
    session = TokenSession(access_token=TOKEN())
    api = API(session)
    longpoll = BotsLongPoll(session, mode=8, group_id=VK_GROUP_ID())

    while True:
        try:
            data = await longpoll.wait()
            updates = data['updates']

            for event in updates:
                if event['type'] == 'message_new':
                    payload = event['object']['message']['payload']
                    responce = event['object']['message']['text'].lower
                    dict_event = event['object']['message']

                    if payload == '{"button":"1"}':
                        await api('messages.send',
                                  peer_id=event['object']['message']['peer_id'],
                                  message="game 1\n",
                                  random_id=0,
                                  keyboard=keyboardReturnMenu)

                    elif (responce == '1') and (payload_event == '{"button":"1"}'): \
                        stage3_menu1 = 1
                        await api('messages.send',
                                  peer_id=event['object']['message']['peer_id'],
                                  message="project 1\n",
                                  random_id=0,
                                  keyboard=keyboardReturnMenu)

                    elif (stage3_menu1 == 1) and (responce == '1'):
                        stage3_menu1 = 0
                        await api('messages.send',
                                  peer_id=event['object']['message']['peer_id'],
                                  message="server 1\nserver 2\nserver 3\n",
                                  random_id=0,
                                  keyboard=keyboardReturnMenu)


                    if dict_event.get('payload') != None:
                        payload_event = event['object']['message']['payload']
                    else:
                        payload_event = None

        except Exception as E:
            time.sleep(1)
            await session.close()