Zoom account keeps requesting to be reauthorized

This is a limitation with Zoom, they don't support users logged into multiple devices.

Zoom developer support has explained this here.

They currently don't support users using their Zoom account on multiple devices without requiring them to re-authenticate. Please leave feedback with Zoom so that they may reconsider. For now unfortunately you will have to use your Zoom account in BusyCal on a single device.

A slightly cumbersome workaround would be to use separate accounts on each device.

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