Can't clean the microwave glass because there is a mesh glued to it.

That I would leave up to the professionals. If you are geting moisture or debris inside the glass then it is malfunctioning and needs professional repair. Call the service phone number locatedin the manual or in back of unit. These emit dangerouse uv rays that can harm you if leaking at the door. Never operate if you suspect it is not sealing properly.

There should be glass.

GE Customer Service is here.

The service manual is here and the parts list is here.
That mesh is the door screen which prevents microwave leakage.
It must be intact or replaced, or a fire hazard exists.
You can order Dacor parts by part number from the Pros here.

It is not advisable. The door is a critical safety part of the microwave oven. The glass being gone will allow heat in areas of the door not designed for heat. The glass also is a support for the safety mesh that contains the microwave energy to the cavity.

Unfortunately it is not possible to do this without dismantling the door. The mesh is very important for containing microwave energy in the oven cavity. If the door is dismanteled it is important not to damage the mesh and to have the oven tested for possible leakage after it has been re assembled.

I have a Kenmore with similar issues.
Model 665.61639100
Anyway, good luck with this. Hope someone has an answer for you (and me).
Mine has a open slot on the top front of the door. Kinda like a double plate window execpt for the opening in front. Why is this there? I don't know. Weird design. But it leaves for the possibilty of liquid to splash in there leaving it hard to clean (like impossible).

I'm thinking I have to completely remove and disect the door.

hmmm? me's thinking about this one!!!!
the glass plate has drive dogs on the bottom of it, that fit into drive dogs on the turn table, if its not meshed up right it just spins freely and normaly throw's the glass plat off??? are the bearing that are under the glass plate turning freely? thats the big ring that the plate rides on near the out side edge of the plate, and can be taken out for cleaning??? it looks like a hoop with 3 or 4 rollers in it??? if you forgot to put this bit back in the right way up after cleaning it thats the problem???

Normally you have to separate the door panels (as shown in the attached photo) and then you'll see the previously hidden screws you need to remove.

Or you can watch a YouTube video (not a video I made) that demonstrates how it's done.

You can usually find helpful exploded view diagrams and order parts by entering your full model number here.

We're happy to help you with free advice and we'd appreciate your thoughtful rating of our answer.

you can change this part easily... if you want a fresh look, or using a degreaser that is available in home depot...
cheers

OK, I'm no handy man and I just figured out how to do this. Open the door and remove the black plastic cover surrounding the inside glass. I used a regular flat head screw driver to pop this out.

Now I removed the 3 screws holding the inner panel against the glass on the front door. After removing the screws, the inner panel is held in place by a series of plastic clips. Go around the perimeter and pop the plastic clips out so the inner panel including the mesh comes out of the door.

Now you have complete access to clean the inside of the glass door!

I found it easier to do this operation with the door completely off the microwave, but you should be able to do this with the door in place too.