This apparently is normal for at least some GE ovens, as can be gleaned from Consumer Affairs complaints filed by
In two of the three complaints the smoke became intense enough even to discolor the oven-door glass. (A good deal can be inferred from that, but doesn't need to be gone into here.)
Nonetheless, (as this has been going on for years), with exposure to enough rounds of high heat the adhesive will eventually undergo a phase change (to a solid) and stop creating smoke or even a hint of the former problem. It is a shame that any company would foist such a problem onto the general public, but we're probably right to suppose it will always be a buyer beware marketplace.
Beyond this initial disappointment I hope you get years of pleasure out of your appliance. But in the meanwhile, please do your best to keep yourself or any animals from inhaling these fumes.
If it is not possible to achieve the required amount of ventilation during the process of burning off the glue, there are a couple of things you can do (short of donning a mask) to make the process bearable and, most importantly, safe.
One is to employ an air purifier proximate to the oven while it's generating fumes. Do a visual check on the smoke to determine whether it's rising (lighter than air) or falling (heavier than air), so that you can be sure to place the purifier as close as possible to the point of aggregation.
The other is to employ an activated carbon felt blanket, perhaps even in conjunction with the air purifier. If used alone, you would cover the stove entirely by tucking it in at the wall, spreading it left and right over the counter tops, draping it to the floor over the front of the oven, and doubling up wherever possible. If used in tandem with an air purifier you would follow largely the same process for the blanket, but would shape it on one of its sides in such a way as to feed the fumes into the purifier.
Air purifiers of course are readily available and come in at a wide range of prices. Activated carbon felt however tends to be a bit pricy and difficult to find. Examples of sellers are here and here. But it may also be possible to locate one through a welding supply store. Just make sure that its carbon is active, not inactive.
The Material Safety Data Sheet (MSDS) specs for activated carbon felt can be found here, and includes the following description,
Activated carbon cloth and activated carbon fabric is characterized by its large adsorption volume, fast adsorption speed, heat resistance, and chemical resistance.