You'll have to do a little investigating. The draft could be coming
from around the windows (are the older?). We could feel a draft
coming from the outlets in the living room so put an 'outlet
insulator' under the plate == can be purchased in hardware stores.
Is a set of thin foam panels with cutouts for the duplex outlets and
switches.

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That outlet insulator, is that the same kind of insulator foam pad that
comes with exterior GFCI outlets?