Connect from the dashboard Connect page with Square sign-in (OAuth). Pick the Square location to listen to.
Every Square order at that location becomes a ticket, using the Square ticket name or order number as the reference.
When the order's pickup fulfillment moves to Prepared, the ticket rings.
Pressing Ready in Kueues updates the Square fulfillment only for orders created through Square's API (online ordering, for example). Square does not let third parties edit orders rung up on Square POS, so for counter sales staff press Ready in Kueues, or mark the order prepared in Square.