OK if you simply want OEM antenna to stay down:

Peel back carpet at pass side of trunk to reveal antenna mast/motor assembly. You will see one coaxial rf (radio frquency) cable that comes from front of car and plugs into a socket on base of antenna mast. You will also see a brown plastic antenna module box mounted to antenna mast with a black electrical connector. (There is a connector that also goes to just beside motor - ignore).
The wires to the black connector come from driver's side of car, running across rear of trunk.

Disconnect black connector to prevent antenna up/down operation. Connectors usually require a plastic locking tab to be released before and while you are pulling apart.

EDIT: See note on later post re connector color


98 Mystique LS v6 atx 110,000km
97 Contour LX v6 atx 125,000km
stock CD on LS, cass on LX
spoiler, tinted windows on LS only
4 wheel discs on LX only
All other available options on both