[BUG] AttributeError: 'Botright' object has no attribute '_async_class_task_store'

While using botright in an automation script with playwright, I encountered the following error when trying to open a browser with botright_client.new_browser():

Traceback (most recent call last):
  File "playwright5.0.py", line 300, in <module>
    asyncio.run(download_pdfs())
  File "C:\Python311\Lib\asyncio\runners.py", line 190, in run
    return runner.run(main)
  File "C:\Python311\Lib\asyncio\runners.py", line 118, in run
    return self._loop.run_until_complete(task)
  File "C:\Python311\Lib\asyncio\base_events.py", line 650, in run_until_complete
    return future.result()
  File "playwright5.0.py", line 97, in download_pdfs
    browser = await botright_client.new_browser()
  File "C:\botright\botright.py", line 147, in new_browser
    _proxy: ProxyManager = await ProxyManager(self, proxy)
  File "C:\botright\modules\proxy_manager.py", line 45, in __ainit__
    link(self, botright)
  File "C:\botright\async_class.py", line 221, in link
    who._async_class_task_store = where.__tasks__.get_child()
  File "C:\botright\async_class.py", line 148, in __tasks__
    return self._async_class_task_store
AttributeError: 'Botright' object has no attribute '_async_class_task_store'

Steps to Reproduce:

Install dependencies with pip install botright playwright

Run the following script:

import asyncio
from botright import Botright

async def download_pdfs():
    async with Botright(headless=True) as botright_client:
        browser = await botright_client.new_browser()
        page = await browser.new_page()
        await page.goto("https://example.com")
        print(await page.title())
        await browser.close()

if __name__ == '__main__':
    asyncio.run(download_pdfs())

The error occurs when attempting to launch the browser.

Expected Behavior:

The browser should open in headless mode, navigate to the provided URL, and close without any errors.
Environment:

OS: Windows 10
Python Version: 3.11
Botright Version: 0.5.1
Playwright Version: 1.40.0
hcaptcha-challenger Version: 0.10.1.post2
Other Installed Packages:
    async-class: 0.5.0
    numpy: 1.26.4
    httpx: 0.27.2

Possible Cause:

It seems the issue is related to the initialization of the _async_class_task_store attribute in the Botright class. This attribute may not be properly initialized during the browser launch process.
Solutions Tried:

I followed the official documentation and reinstalled all dependencies in a fresh environment, but the issue persists.
Additional Comments:

This issue seems to be connected with how async_class is integrated into the flow of botright. I would appreciate any guidance on how to resolve this, or if a future update might address this behavior.

Start by reproducing the provided script with Python 3.11, Botright 0.5.1, and async-class 0.5.0. Read botright.py, modules/proxy_manager.py, and async_class.py around Botright initialization and link(); the work is done when new_browser() opens the browser and the example reaches example.com without the AttributeError.