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Connect two internet modems

I have two modems (modem A and modem B) and both of them have internet access (but they get internet from different service providers).

And I have one router in living room that I use it as access point and I connected that to modem A. I also connect DVR to one of router LAN ports.

modem B is just for me and nobody else should connect to internet by modem B.

When I am using modem B, I can not see DVR cameras, and When I connect modem B to modem A by their LAN ports, people who connected to access point got connected to modem B (Their public IP is the same as modem B) that I don’t want that!

How can I connect modem B to modem A without sharing Internet?

Note that due to physical limitations, I cannot connect anything else to my access point!