I'd recommend checking state and local legislation before using an unvented heater. They're illegal in a lot of situations in my state, and if anything goes wrong in an apartment setting (harm to other tenants from fire or combustion byproducts) the legal repercussions could be severe.
"The State of Wisconsin prohibits the use of unvented heaters and fireplaces in single-family homes built after June of 1980, and all commercial buildings, apartments and condominiums regardless of construction date." (source)
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