LOL, it's good to keep the boxes, in fact it's awesome that you do because NO ONE ever knows what lights they have on here at all, though just as an FYI most bulbs actually say the brand, model, wattage, strength, etc. right on the tube. Like the Reptisun UVB tube you have, it should say "Reptisun 10.0 or 5.0 and T8 or T5HO" right on it, along with "15 watts" or "24 watts".
The "brand" of basking bulb you have doesn't really matter, in fact most experienced bearded dragon owners and breeders don't use a reptile specialty basking bulb at all, meaning the type you'd buy at a pet shop or a reptile shop that is ungodly expensive for no reason. The only thing that matters with a beardie's basking bulb is #1) It's bright white only, not any color like red, blue, yellow, green, purple, black, "moonlight", etc. (beardies see in full-color just like us, and any colored bulbs, including nighttime bulbs (which you don't need at all anyway and it should be pitch black in her tank at night anyway), you're trying to replicate natural sunlight as closely as possible, so it must be bright white in color, and #2) That is't the correct wattage to keep all 3 temperature zones within the correct temps. Most of us actually buy our basking bulbs at Lowes, Home Depot, or Tractor Supply, and they are just regular old household, Halogen Indoor Flood bulbs, the Par38 type. They are all bright white in color and are exactly the same thing as any of the "reptile specific" basking bulbs.
My only concern about your basking bulb (it is bright white, so that's good) is that is does not look like a "Flood" bulb at all, it's focusing light on one specific spot, meaning it's a Halogen "Spot" Light, and that's why it's so bright on the Hot Side of the tank and so dark on the Cool Side of the tank. Plus, if it's a "Spot" Light and not a "Flood" Light, the light being so intense on one spot could be hurting her eyes.
The only serious issues you have with your husbandry that I can see are #1.) The UVB tube is up against the back of the tank and is in the center of the entire tank, rather than being centered over the Hot Side of the tank and right alongside the bright white basking bulb, so that she gets BOTH LIGHTS at the same time, and then #2.) There is no metal reflector behind the UVB tube to reflect the
UVB light throughout the tank...HOWEVER, even with a slip-on metal reflector added behind the tube, you still need to move the entire UVB tube Fixture from it's current location and located it directly over the Hot Side of the tank, and then move the Basking Bulb over a bit to make room, so that BOTH LIGHTS are side-by-side over the Hot Side. You'll need to attach the fixture to the underside of the mesh lid on the Hot Side somehow, I don't know how you have it attached now, but if it's attached right now to the underside of the mesh lid instead of the back glass, then just move it directly over the Hot Side and attach it to the underside of the mesh lid over the Hot Side the same way. If you look at the photo you closely you'll see exactly what I mean, the photo captures the problem perfectly. She's sitting on her main Basking Spot and she is directly under her Basking Light, which is good, but even if you had the UVB tube turned on and even if it had a metal reflector behind it, she would still only be getting residual, much weaker UVB rays from it because it's not directly over her head. After you relocate the UVB tube Fixture to being located over the Hot Side of the tank and then you move the Basking Light right alongside it, you may need to move her basking rock a little so that it is located directly in the middle of the 2 lights, so she'll be sure to get both lights at the same time...this is very, very important...
I'm going to just assume that you have a Reptisun 10.0 T8 UVB tube, an 18" one, it's a very common
UVB light and a good one as long as it's within no further than 6" away from her while she basks, and as long as it is replaced once every 6 months like clockwork, because the T8 tubes discharge their UVB very quickly, assuming that you have it on for at least 13-14 hours every single day, this again is extremely important for a dragon. I don't know if you've ever had a dragon before or any other type of "Desert" reptile, but they are totally different than the tropical reptiles or other reptiles that don't have near the light and temperature requirements that the Bearded Dragon does. They only come from the Australian Deserts, which consist of hard, rocky terrain with scattered vegetation, and plenty of high rocks to climb onto to bask under the intense, direct, natural sunlight for long hours every single day. Without 13-14 hours of adequate
UVB light every single day and a correct temperature gradient that includes a correct Basking Spot Surface Temperature, Bearded Dragons cannot digest any food, absorb any nutrition, or process/use any nutrition. Improper UVB lighting, improper temperature zones, and improper diet, in that order, are the main causes of health issues in dragons, they are always called "Beginner Reptiles" by pet shop employees, ironically though those employees know absolutely nothing about properly caring for a Desert Reptile, and as a result most new owners are sold bad lights, improper lights, colored lights, crappy thermometers, no
UVB light, they are often told that dragons don't need any
UVB light, etc. It's really a serious issue in the US.
One question I do have just based on my own experience and the general experience of others is about you temperature zones related to your Basking Bulb wattage....you said you have a "40 Gallon Breeder Tank", which is the most popular enclosure size for new Bearded Dragon owners (and is a perfect size tank for her for the first year or so of her life), but as it is such a popular and common size tank for dragons, I'm kind of worried about your temperatures being accurate, as you said that your Basking Bulb is a 150 watt bulb...are you certain of that wattage? Please, please double check the Basking Bulb wattage, look right on the bulb please, just to be absolutely sure it's a 150 watt bulb.
The reason I'm worried about this situation is that most all of the dragon owners who use a 40 Gallon Breeder Tank, including myself (that's the tank I have for when they first come home up until they are 6 months to a year old) usually only need a 100 watt basking bulb to achieve a Basking Spot Surface Temp between 105-110 max (for a baby/juvenile, after a year old bump it down between 100-105), a Hot Side Ambient (air) Temp between 88-93 max, and a Cool Side Ambient (air) Temp between 75-80 max. (Maximum temperature ANYWHERE inside a Bearded Dragon's tank should never be higher than 110 degrees, anything higher can be lethal and stressful). I've always used a 100 watt bright white Basking Bulb over the Hot Side of my 40 Gallon Breeder Tank, it is housed in a Deep-Dome fixture that sits on top of the mesh lid over the Hot Side of the 40 Gallon Breeder Tank, right alongside an 18" Reptisun 10.0 T8 UVB Tube/Fixture that is attached to the underside of the mesh lid with large, plastic Zip Ties. This setup achieves the proper temperature zones, and as I've been a member of this forum and others for a long, long time and have seen literally hundreds of people who use a 40 Gallon Breeder Tank (that's how common it is for Bearded Dragons), most all of them use a 100 watt bright white Basking Bulb. In fact, it's not uncommon for people to buy a 150 watt to start off with and then have to return it the next day for a 100 watt bright white Basking Bulb because the 150 watt was way too hot and put the temperatures way too high. So that's why I'm concerned.
I know you said you bought an expensive Temperature Gun to measure your temperatures with, and I'll be the first person to admit that I've never once used a Temperature Gun, so we need some input here from someone who has experience using one, because I'm a bit concerned here that you're temperatures are incorrect as you've measured them. That would certainly explain her not having an appetite at all and being extremely lethargic, as you've listed her Basking Spot Surface Temperature as being 109 degrees. If that's correct then it's perfectly fine, but you have that Basking Bulb right directly overtop of her basking spot, that rock, and it would surely absorb a lot of light/heat without an issue, and again it is definitely a "Spot" light instead of a "Flood" light, so the light is focused very intensely on her basking spot. I just can't help but think that a 150 watt Spotlight Basking bulb directly above her basking spot in a 40 Gallon Breeder Tank would put the Basking Spot Surface Temperature way too high, as well as the Hot Side Ambient and the Cool Side Ambient temperature too...
Anyone else here with 40 Gallon Breeder Tank experience (should be about everyone on this forum, lol), can you please chime in on what wattage of bright white Basking Bulb you use to obtain proper temperature zones for your Dragon? I'm pretty certain that the highest wattage of Basking Bulb I've ever heard of anyone using over a 40 Gallon Breeder Tank has been at most a 125 watt, and that's extremely rare. In fact I just spoke to another member a couple of weeks ago that had their 6-7 month old in a 40 Gallon Breeder Tank and was having a custom wooden enclosure (4'x3'x2') built for her, so she went out and bought a 160 watt MegaRay MVB for the upcoming new enclosure. She tried putting the 160 watt MVB over the 40 Gallon Breeder Tank that her dragon was currently in and removed her old UVB tube and 100 watt Basking Bulb, and the 160 watt MVB sent the 40 Gallon Breeder Tank temperatures soaring up over 130 degrees! So that's where I'm coming from...
Again, I may be totally off-base, especially since I know that typically Infrared Temperature Guns are very accurate and I've never even used one before, but I also know that it's easy to use a Temperature Gun incorrectly. So I need some other opinions here on both using a Temperature Gun correctly, and on whether anyone else uses a 150 watt Basking Bulb over a 40 Gallon Breeder Tank without the temperature zones going sky high...
In the meantime, please double check the wattage of the Basking Bulb by looking right on the bulb to make sure it is in fact 150 watts, and then try taking just the Basking Spot Surface Temperature again with the Temperature Gun.