The best solution is for you to come to terms with the fact, that this is an appliance that is being used, rather than just a show piece. So, you'll never get it 100% clean again.

The next best solution is to buy a brand new door and then refrain from ever using the oven.

Since both options are unlikely to appeal to you, I suggest removing the door so that you can lay it flat. I own a Bluestar rather than a Wolf, but I would expect the hinges to work very similarly. From what I can tell, most gas ranges follow similar principles. You might have to loosen or remove one or two screws. But then the door probably just lifts straight up for removal. Try to find a mechanism to hold the hinges in the open position, this will make it infinitely easier to reinstall it later.

Search for a service manual online or see if there is a Youtube video demonstrating how to do this for your particular model.

Once you have the door out, you can apply liquid oven cleaner from a spray can, let it sit for a while, wipe off the excess, and then scrape the glass with a razor blade. Finally, wipe off any remaining chemicals with a wet rag. I find, having removed the door, it is much easier to do this work. But I also find that it doesn't make the glass perfectly pristine. It'll take off 95% of the grime, but the glass will definitely look more dull and stained than when you first bought the range. Generous application of elbow grease can improve results, but don't expect miracles.

Opening up the door to clean the inside of the glass is likely possible. I am just not sure how well-advised it is to do this. It's more labor intensive and stands a higher chance of you breaking something without a guarantee that things will look significantly better. Your call.

With some brands, you can access the area between the two glass panes from the air vents. In that case, you could try to blow out any dust with compressed air, or you could use a long-handled brush.

And whatever you decide on, please report back for the benefit of other owners.

I also have a Bluestar range rather than a Wolf but here are a couple of things that you might find useful.

1. Take a look at this video made by Matthew Schutte from Bluestar:

https://vimeo.com/259944251

It shows how to take apart a Bluestar range door and what glass surfaces can and cannot be exposed for cleaning. Your Wolf will be different, but they may be similar enough to be of some help.

2. Coincidentally, just this week, I had a similar issue with my Bluestar range oven door. I was putting a pizza into the oven and managed to spill a bunch of shredded cheese on the very hot inside glass surface of the door window. I immediately tried to minimize the problem by wiping the glass with a damp paper towel but, of course, just made it worse by smearing the melted cheese into the glass. The next day, I tried to clean it by rubbing it hard with a wet cotton towel and scraping it with my finger nail but nothing came off. It was a thin, hard, baked on, mess.

I really didn't want to use any harsh, toxic chemicals on this so I went to the Internet and discovered the suggestion to use a baking soda paste and, to my amazement, it totally worked! With very little effort, the window is now perfectly clear and looks brand new.. The technique is to mix 1/2 cup of baking soda with about 3 tablespoons of water to create a soft paste that has the consistency of shaving cream. I spread it on and gently rubbed it in with a gloved hand, let it sit for about 45 minutes, then wiped off the paste with a cotton towel.

The theory behind this is that most food is somewhat acidic and the baking soda, being alkaline, chemically reacts with the stuck on food to loosen it.

For hard burnt on food that has been there for awhile, some recommend leaving it on overnight before wiping it off. One thing to be aware of though, is that it is harder to remove it once it has dried on. I'm glad that I wiped it off while still wet.

Anyway, you could first try it on a small, easily accessible area to see if it works for you.

M, I don't need the sarcasm and I only accidentally "thanked" you for the post. I am not trying to get the oven door glass to look brand new, just get some of the junk off.

John, thanks so much for you response! I appreciate it.