I built a similar rifle using only what I could buy on a small budget. Didn't keep track of expenses, but I'll estimate that I built it for about $750-800 and a bunch of elbow grease.
Howa Mini barreled action in the lightest barrel contour offered for the 7.62X39, but the same rifle could be built in 6.5 Grendel. Boyd's laminate stock (for now). Leupold Ultralight 2-7x (claimed to be 8.2oz) in Talley mounts. I did use a DIP bottom metal for it's better durability knowing that it was costing me some weight. It shoots PPU 124 SP's like they know your intended target and have radar.
I pocketed the underside of the Talley's and extensively hollowed out the stock in both the butt and the forearm. Cut the magazine down to get it as flush as was possible, so now it's a 3 round mag instead of a 5 round mag. Scoped and slung, empty magazine it weighs 6.9lbs. There's some metal in the DIP part that I could remove with a drill that wouldn't show or affect function. I was able to find button head Torx in Titanium for the action screws. I've debated drilling them length-wise, but haven't done that yet. I did add some weight in using the pocket type of sling swivel, but left the stud type in the forearm for use with a Harris. The blued steel was Cerakoted Midnight Blue and if I can ever find a firm to do the work, the bolt body & FP will be Nickel-Tefloned.
I neither know nor care what it weighs w/o the scope, mounts, and sling because I'll never shoot it or carry it in the field like that. I feel that rifle weights reported at less than fully outfitted are misleading at best and cheating at worst. If I take enough stuff off this rifle I can make it a 3 lbs. rifle, but it would never be used at that weight.