You don't have to run an ethernet connection, but you will need power. If it doesn't have a direct ethernet connection it will Mesh with another AP that it can reach and the traffic will move to another AP wirelessly to reach the internet. The downside of doing this, if it can only reach one other AP and that one goes down due to power loss, upgrade, other issues then you lose that AP as well. Here is some documentation on wireless mesh: https://documentation.meraki.com/MR/Wi-Fi_Basics_and_Best_Practices/Wireless_Mesh_Networking
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