I grew-up with a male CAG, from when I was 9 years-old until, well, now...he's 33 and I'm 38 now, and he's still my brother...and he acted in most of the ways you listed all the time anyway, he is quite cuddly for a Gray. But he would have his hormonal moments when his "nipping" would start; he lives with my mom and stepfather now, and he's the only bird in the house now, as opposed to growing up with dozens of breeder birds, so he's less jealous and less "dominant" behaving now, but my mom has always kept him on a "Natural Light Schedule", which seemingly has worked to keep his hormones pretty much at-bay.
***I don't at all suggest putting any type of artificial light on him or near his cage, whether it's a "bird light" or not...There are a millions reasons why they are terrible for birds, I won't go into all of the potential health issues that they tend to cause (especially if the bulb you have is a "coil/spiral" type of bulb, if it is I highly advise you get it off of her, as they ALL emit harmful light-rays that are a by-product of the manufacturing process used to make them, and they ALL tend to cause eye damage,
blindness, skin damage, basal and/or squamous cell carcinoma, melanoma, etc. in reptiles, amphibians, birds, etc.; if you really must use an artificial light, assuming it's a "UVB emitting bulb", as most of them are, then you want to use ONLY either a long UVB tube-light inside of a long strip/tube-light fixture, as they are the most beneficial and the safest, as long as they have a UVB output of at least 10.0 and a strength of at least T10, but again, unnecessary. Anyway, the idea of a "Natural Light Schedule" that decreases hormonal behavior isn't to make the "days longer", it's to allow the bird to go to wake-up and go to sleep with the natural sunlight. So this schedule is going to change as the season's change, just as they do in nature for wild birds, who don't typically have any issues with chronic hormonal behavior or egg-laying. Using a light on your birds to seemingly "make the days longer" is only going to make her hormonal behavior worse!
A "Natural Light Schedule" is allowing the bird's cage or wherever the bird sleeps to be in a place where they can see the sunrise in the morning and the sunset in the evening, or at least in a room with a window where the light changes with the sunrise and sunset. And making sure that the bird wakes-up in the morning at sunrise, which they typically do anyway, as they can typically see the sunrise, but the big one is putting them to bed/sleep right as they watch the sunset, regardless of what time that might occur...That's why it's called a "Natural Light Schedule". The more light you are exposing her to in the evenings with an artificial light, the more hormonal she's going to become, so this is counterproductive to what you're trying to accomplish...
And another reason i've heard people say they have purchases a "bird light" or artificial UVB light for their bird is because they've heard that if the bird absorbs more UVB light, this will cause their hormones to shut-down. Again, the result is absolutely the opposite. The more UVB a bird absorbs, the more Vitamin D3 their body is going to manufacture. The more Vitamin D3 a bird has in their system, the more Calcium they are going to be able to absorb from the food they eat. And the more Calcium they absorb, the more hormonal they are going to be, as their body is ready to make eggs, and obviously this has a more prominent effect on female birds than males as far as the UVB light goes. Pet/captive birds should get more than enough Calcium/Phosphorous and Vitamin D3 from the food they eat, they aren't like certain reptiles/amphibians who's bodies cannot absorb any Calcium at all without being under constant UVB, as their bodies don't manufacture Vitamin D3 at all without it. It's just not the same situation at all.
Either way, extending your bird's days with an artificial light is counterproductive if you're trying to stop her natural hormonal behavior.