Wood burning, no hearth, do what @Lyn Nielson recommends. I'm surprised it passed inspection. Is this room a renovation, incorporating the old fireplace/chimney? I see a damper. It is a looker, for sure.

For the chair?

Paint the firebox with high heat black paint ( Igot mine at a fireplace store. Buy or have made a new glass enclosure. Depending upon your style, you could add fireglass on the bottom.

So many thing on this element were so poorly planned,....... like the floating beams which are not centered on the stone wall and the firebox that is not centered in the stone wall.

I'm not crazy about the clock but the monumental appearance of the stone element looks fine as is. I'd select a black 3D element that is NOT SYMETRICAL, to mount on the face of the stone to distract attention from the mistakes.

Can you remove the beams with the uplighting? Are they simply decorative?

I'd install the metal FP screen that hangs on a track for this box. Minimal is best.

I would paint the brick like a creamy white, essentially to match the tongue and groove ceiling color. That would make it look so much more cohesive and elevate it so much.

It isn’t brick, it is stone and painting it would just look like a tower of painted rocks,

no painting the stone

I balked at the paint suggestion too but read carefully it's suggested the FIREBOX be painted--in order to give it a cleaner look. Right now it's a mess. Brick or stone doesn't matter. Painting the fireplace is rarely a great idea. Are we to assume it's used? I would be tempted to convert it to gas. Then the firebox is sealed/enclosed so it always looks neat and tidy, but they do get hot so not sure of safety. The mess of a wood fireplace in your space would have me not using it. Once all cleaned up and maybe painted the firebox could hold candles. again not burning wood in it. When our kids were young I banned the mess, put a mirror on the back wall of our firebox and had a candelabra much like the one below. Have to agree on your floating beam system with the wood ceiling above. Not sure what design statement that's all making but the beam "through" the fireplace is ridiculous.

I wonder always if you ask a question on your phone do most people take 2 days to answer ? We do not know if this even functions .

I have to say that I gave it a couple of days to let people throw out some opinions.

I should have added that I’m only interested in the firebox, not the beams or the fact it’s not centered. However the comment about the clock makes sense to have something above it that’s asymmetrical. It was a working fireplace but was converted to gas. We never finished the full conversion ie getting the doors installed. I could just do that and be done.

Also, the beams were exposed when we renovated the space. They are structural. We opted to keep the asymmetric beams. The photo doesn’t do the room justice.

I've never seen a gas fireplace that wasn't all sealed and enclosed. My inlaws has a gas fire starter but the burned wood in the fire box. Clean it well, finish it's installation with a glass front. The glass will camoflage any imperfections.

Attractive birch logs nicely arranged in attractive andirons. You can get really nice brass ones for not too much money.

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Cleaning the fireplace out and painting the firebox as suggested by @K Laurence will make a quick huge improvement in the fireplace’s look. Then decide on doors.