I'm gonna guess somewhere around 1200 lbs. If you didn't get the Multi Function Tailgate or the Ramboxes or the eTorque - those weigh a lot. Check out my specs in my signature
Wanted to come back around to you, sir, now that I have a bit more info from the other posters (thanks again guys!)
Here are your specs from your sig:
2021 Ram 1500 Limited 4x4 Ivory White Tri-Coat Pearl, 5.7L V8 HEMI eTorque, 3.92 anti-spin, Pano Sunroof, MFT, 33 gal fuel tank, Protection Group, Technology Group, Trailer Tow Group, Body Color Bumper Group, Bed Utility Group, Limited Level 1 Equipment Group | Built: 03/09/21 | Max Payload: 1,190 lbs Max Towing: 11,090 lbs | 305/45R22 Toyo Open Country AT3
I will guess this is a 5'7'' bed, so I will take your 1190 and subtract 50lbs for the longer bed on mine, so we're at 1140.
I don't have the MFT (I've read that adds around 75lbs) or the Protection Group (I've read all the skid plates combined are around 120lbs), or the BUG (which I estimate adds around 60lbs). I also don't have Level 1 (which probably adds a few pounds from the extra speakers and the surround view camera system) or the Tech Group (probably negligible). I DO have the Night Edition, which has the Tonneau cover (that's around ~30lbs), and adds back the upgraded speaker system. I don't think it adds weight anywhere else, so we'll call the Night Edition a +50 to round up, so we're at 1090.
So that's 1090 + 75 + 120 + 60 = 1345. That sounds like a high estimate so not sure if I'm missing something, but dropping all that stuff from your vehicle, and adding the longer bed and the Night Edition is my exact build. Maybe the Night Edition is adding weight somewhere else? Sport hood?