How to update from select with a Join

UPDATE invoiceLine
    INNER JOIN terminal
        ON invoiceLine.ctn = terminal.ctn
    INNER JOIN network
        ON terminal.network = network.id
    SET invoiceLine.network = network.label

UPDATE invoiceLine SET network = (
    SELECT label FROM network WHERE id = (
        SELECT network FROM terminal WHERE terminal.ctn = invoiceLine.ctn
    )
)