First off, you don't need to brumate to breed your dragons. Second, I would make sure both are healthy and parasite free before introducing them to mate.
If you still want to brumate first, then this is the process that most breeders use for brumating their dragons.
Length of days are shortened gradually over several weeks, moving from 14 hour days to 10 hour days. Temps are lowered gradually till the day time high is about 78F (basking spot about 95F) and night time temps of around 65F-70F. Feeding should be reduced as well then stopped altogether when temps are at their lowest. Fresh water should always be available.
To reduce the light/heat, the best way to do is shorten the day length by about half an hour once a week, till you are at 10 hours a day. The basking temp should be reduced about 2-5 F each week as well, though probably best to leave basking light at normal ranges, till the last week before day light reaches 10 hours a day, then all feeding stop, and have the basking temp reduced to 90-95F (either by raising light or reducing wattage of bulb).
There is no need to remove the UVB light from the cage. I think it should still be left on as well as the basking light during the entire brumation period. Though the dragons don't bask, they can wake up and bask for a few hours here and there during brumation. Typically brumation should last about 2-4 months.
To bring them out of brumation, slowly increase temps and day light time back up to normal settings. Once your dragons start coming out, increasing basking temps to 95F and offer light feedings of salads etc. Soft bellied insects such as silkworms are good for those first out of brumation meals.
Once temps are all back to normal and daylight is back to normal and both dragons are eating well, you can start introducing the male to the female. (note: dragons should be housed separately till they are introduced to breed. This ensures the female isn't stressed or bothered by the male till she's ready).
One suggestion I have though, since it is already rather late in the breeding season (unless you want to be trying to sell babies in the winter, which can be a problem if you live in the colder states or up in Canada, as its not good to ship dragons when it's below freezing anywhere along the route), is to wait till the fall to start prepping your dragons for breeding.
If you want to just skip the whole brumation process and introduce your dragons now to see if they will breed, you can do that. Just keep in mind that if they breed today, it will be most likely late July before the first clutch hatches, and thus, mid to late August before the babies are ready to sell. Later clutches will of course be ready in following months, depending on how many clutches your female has...she can have as many as 3 clutches easily to as many as 5 or 6. Thus, you could be raising babies in October or as late as January. Most breeders start to brumate around October, start breeding in February or March.
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PHLdyPayne