Note: It is the same network since I used my phone Hotspot to connect my laptop to the internet
Any suggestion to this issue with verification on my mobile device?
Mine has always been passed once on all websites.
If you are certain that you do not use a VPN or proxies, it could be how your browser and mobile phones operate (fingerprinting/configuration, and even privacy extensions), by virtue, your phone and laptop could operate differently in privacy/security, and in suspecting a bot. Why not try another browser, to begin with? Clearing your browser data could also help.