Reddit mentions of Breville BGR820XL Smart Grill

If I had to make that small an area work, I would rely heavily on countertop appliances.

Forget a built in burner, takes up too much room.
Get a gas or induction hot plate for use in the summer, and use the black oven in the winter.

Make outlets readily available on the counter. Best place would be the underside of any cabinets, or just the wall.

You can do a lot with one of those combo griddles. Cuisinart makes a cheap one, but you can get nicer ones from others. Breville is one, but I am sure there are others.

Build your knife storage into the counter, a la Alton Brown. Saves space, and makes them always available.

Don't skip the dishwasher. It'll take up valuable storage space, but working in a small kitchen like that will be much more bearable if you don't have to wash dishes by hand.

Make sure you get plenty of prep bowls, and have storage space for them. Mise en place will be very important with a small space, and they will help a lot.

A Magic Bullet type blender is really handy for cooking for 2, and for a lot of tasks that would otherwise take up more counterspace (chopping onions, beating eggs, chopping herbs, etc).

Make the whole countertop out of end grain butcher block (or side grain if you don't want to/can't spring for end grain) so that you don't have to deal with cutting boards at all.

If you don't already, try cooking sous vide. Takes little space, and good for summer cooking as it won't let too much heat into the space.

Have a hood vent for your black stove, and in the summer, put your hot plate there. The vent needs to be the type that goes outside, not the filtering one.
You don't want a small space like that filling with smoke from cooking.
Actually, depending on how you build the kitchen, you might be able to just put the vent in the middle of the room. Have the ceiling slope towards the center a bit.

Don't skip the garbage disposal in the sink - you'll regret it. Also, stick with a single sink instead of the traditional double. You're better off with one normal sized sink than two half sized sinks.

Skip the microwave, and just get a large toaster oven instead, one of the deep ones that can fit a 12" pizza. You can do most everything you can do in a microwave in the toaster over, it just takes a bit longer.

Skip the coffee maker, and get a hot water ketttle with a gooseneck spout like this. Learn to do pourover, get an Aeropress, or a Chemex. Saves you counterspace, and you can use the electric kettle for other cooking things too.

Here's a link to the grill on Amazon
https://www.amazon.com/Breville-BGR820XL-Smart-Grill/dp/B003SIN0BC

I do not put it in the dishwasher. The plates are removable and I hand wash them. The surface non-stick material is easy to clean and seems to be holding up very well to usage. I've had it for almost 3 years. There is also a grease catcher drawer that needs scooped out and washed.

I have found their products to be very reliable and produce consistently good results. You can also buy additional plates to give you grill marks top and bottom or no grill marks at all. I can't remember whether there are waffle plates or not. You can also tilt the base or leave it flat depending on how you want grease to drain.