The stove's manual will specify in detail. Download the manual for all the stoves you're looking at while you are still in the planning stages.
Local codes could add restrictions on top of what the manual says, but I don't know how common that is.
If you're still thinking about the englander 13nc:
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That is for the 13NCi which is definitely an option if the OP and landlord are ok with putting in an insert. I I was thinking the 13NC which is their freestanding stove. At this point it's unclear whether this is an issue. We don't know if there is a mantel and if there is, what are the distances.
Yes, I have looked at manuals but it appears the clearances are to combustibles. Usually the diagram shows distance from a wall, but the "walls" I'm dealing with are the inside of a fireplace. If that means I only have to worry about the mantel how much clearance do I need? The mantel is 18.75" from the fireplace opening to the underside of the mantel, and it juts out 4.5" from the fireplace front. Thanks.