@neilhorbachewsk -- if you use a "CAT-6" cable (capable of more than 1.0 Gbit/second) to connect port #4 on the Shaw router directly to your Ethernet switch, do the switch's LAN ports work to connect to your in-house computers?
Then, connect one of the LAN ports on the Shaw router to the WAN port on your Google box, to provide WiFi to all the in-house WiFi devices, through any of the mesh satellites.