There are some BLM restrictions in place as to areas and types of ammunition.
https://www.blm.gov/press-release/blm-initiates-seasonal-fire-and-target-shooting-restrictions-california-desert-1
There are two maps linked from the BLM site. To the extent I can tell, this map attempts to also show boundaries of some private holdings and/or other federal holdings, like 29 Palms, Fort Irwin, Edwards AFB, etc., which would also have closures, require owner permissions, etc.
https://www.blm.gov/sites/blm.gov/files/docs/2022-04/2022_CDD_Fire_Restrictions_Map.pdf
This map just shows the generic boundary for Stage ii closures:
https://www.arcgis.com/apps/View/index.html?appid=a330d77fe184408ab7c3b9a8035c37fb
There may well be some established range facilities in the area but none that I know of. I would expect similar ammo restrictions to avoid fire issues.