@DonDiego 

Hi,
The Tapo devices connected to the Tapo hub to work can't connect to a Wi-Fi network, however, it's possible to connect the hub to the extender's Wi-Fi network to work.
If the extender has a different SSID and password from the "basic" network, it's suggested to reset the hub and reconfigure it to connect to the extender's Wi-Fi to work.
If the extender has the same SSID and password as the "basic" network, you can try to move the hub close to the extender, reboot the hub, and check if it will connect to the extender's Wi-Fi.

Best Regards