Hi, welcome to the forum, and congrats on your new baby!
No, she's definitely not brumating. Dragons don't typically go into any type of brumation until they are well over a year old, sometimes it can happen a few months earlier than a year, but this is very rare, and will never happen when they are babies or young juveniles at all.
If there are any issues with her being lethargic and sleeping a lot, this is usually due to inadequate UVB lighting, having the UVB tube set up too far away from their basking spot, having the UVb tube obstructed by a mesh lid, improper temperature zones, or a combination of all of these. So it's best to try to get your husbandry issues worked out now, before they start causing any nutritional deficiencies in her....Can you post some photos of both her and her entire enclosure, as well as her lighting set-up?
Also, what
UVB light do you have, what brand/model/wattage and/or strength, and what type (long tube, compact, or coil bulb) of
UVB light do you have?