I used to install Fireplaces in the 90's - but I'll give you what info I had from then.
The vent-free type have an automatic CO sensor that will shut it off it reached any level that would come anywhere near being something to worry about.
Safe.
For temp. or emergency use, I don't see a problem.
BUT, for regular use... A by-product of the combustion is alot of moisture.
If the surface of windows in the room are cold, they will sweat. You're introducing a lot of moisture into the room.
If you've ever seen Direct-vent gas fireplaces (sealed behind glass), when you first fir them up, the glass steams up on the inside, and may even produce water droplets until the glass heats up. Same thing, but, your exterior windows are likely to stay cold, and continue to sweat.