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First, that RG-59 coax is being used as an impedance matching device.  If you don't us it, your SWR with just a straight run of RG-58, or any other 50 ohm coax, will be fairly high, probably around a 2:1 or worse.  A full wave loop antenna is not a 50 ohm antenna at all, it's typically around 100 - 150 ohms.  You really do need that RG-59.

Windows come in all sizes so that loop may certainly 'fit' around yours.  Just keep in mind that if the loop is made in a square, it'll be about 9 feet on each side.  I don't have two windows together that would fill that sort of space.

 - 'Doc