Lapua has great brass, but you are under thinking the amount that you will need.
Since the rifle is an autoloader, think in the 1000 lot for a brass buy. By the time that you prep the brass (turning necks, unifying primer holes, trimming, then weighting out the brass into groups), you will find that you may end up with three to four different brass groups. My advice is to just pick up a thousand lot of USA made brass, then re-clean and get to work. This way, you can have several hundred rounds of loaded ammo that are the same (loaded at the same time, instead of taking the chances of something changing before you reload the next group).
Once you have found the correct bullet tip and seating depth, powder and weight and the weather/temperature doesn't change, you will be set. The only problem that I run into is once I find a great load, the season’s change and that load goes to shit. Nothing like having a .3 pet load in a bench rifle go plus .7 just because the temperature went up by 40 degrees. On the AR's, if I find a load the stays around 1MOA without the temperature affecting the load, I will just run that load. The bitch is that Gun powder lots change all the time, so when you buy that single pound can to test loads, once you find the magic load, you have to find 8LB kegs of the same lot to hold you off for the season.
Welcome to searching for the "Holy Grail". Just when you think that you have reach your goal of the perfect load, the barrel goes south, and you end up starting from scratch. On your sum barrel, the groups will tighten up for the first hundred rounds then hold for around 3000/5000 rounds, then start to open back up. Not running a brass brush threw the barrel will extend the rifling life (compensate for the throat plasma erosion by seating the bullet out a little longer), but it will go south sooner of later. A great barrel gets you so far, then great hand loads gets you a little father Lowering the MOA on the groups, but it all comes down to if the “*Nut” behind the trigger is doing his part.
*Nut = anyone that spends way too much time at the loading bench, and thinks in the thousands of inch when seating bullet in a case. The part that puts you over the top is when you re-mic/weigh the ammo after you are done, and then pulls the separated ammo down if it mic’s .002/weighs 1 grain off the held control