Read the instructions for the stove, it will specify which types of venting are allowed. If its not a "Type B" gas vent, then you should not connect to it.
This is from the manual for the Tuscon BV stove. First one I found on thier site that was B-Vent
Normally Aspirating Chimneys
The Tucson is a highly efficient gas heater. With
operating efficiency as high as 82%, most heat
output is retained within the living space, with
minimal heat leaving the room via the chimney.
However, some heat is required in all chimneys in
order to establish and maintain a draft. Since most
of the heat is retained in the living space with
minimal heat entering the chimney, it is imperative
that the chimney/venting system be properly sized
and installed in order to establish and maintain the
draft required for the unit to function.
The Tucson must be properly connected to a 4" (102
mm) diameter type B-1 vent which is constructed
and installed in accordance with NFPA54 and
NFPA211. Single wall vent pipe may be used within
the same room as the Tucson so long as adequate
(6" or 152 mm) clearance is maintained from the
single wall pipe to combustible surfaces. The single
wall vent pipe must connect to double-wall type B-1
vent from thereon. The minimum clearance from
type B-1 vent to combustibles is 1"(25 mm).
http://www.hearthstonestoves.com/assets/files/document_library/Tucson8720Manual.pdf
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