QAM is over cable, not satellite dish. If you're plugging your apt's cable tv's wire into your box, then yes, you won't get any signal or quality. You'll have to connect from the dish.
Why don't you go up to the roof? It could be that a lot of the dishes are vacant. If you've had DN sub long enough, they won't come to take the dish away when you cancel/move. If there are, it'd save you the trouble of finding a dish and installing it.
You might even be able to plug a cable into an existing dish that another tenant is using, if the LNB is twin or quad DP. You might get into trouble if they come up and check for some weird reason though

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