Such bridges shall be line of sight without walls or such and for reliable operation 100 feet or less.
So any old WiFi to Ethernet Client will do then that Ethernet goes to your choice of router or WAP. Which you choose is by your design. If you choose a router then you have a little more choice since all the routers I've used over the years can be turned into a WAP.
Is there a device that I can buy that will transmit the network from my house to a second building and then on the building connect to that signal with a client router or something? The second buildings wifi needs to transmit outdoors.

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