I have point to point but shop wifi is different name - eviltoast

Hello, I have a p2p connection from my house to the shop that is working well, however the wifi in the shop coming off the shop router is a different name so there for requires me to connect to a different connection when I bring devices from the house to the shop. This is causing issues with my wifi cameras to not recognize the shop connection as the home base is in the house and connected to the “home” internet (shop wifi is called “shop”). Is there a way to make it all the same so that devices will recognize it all as the same wifi?

Example, my phone wifi is connected to “home” when I’m in the house, when I’m in the shop it is connected to “shop”. However it’s all connected to my Starlink internet in the house.