Expert Sniping advice needed, please

Been sniping in shooters forever, but am now playing a sniper-focused game for the first time—Sniper Ghost Warrior 3, attracted by the open world. Going fine, longest headshot over 300m—but now the going gets tough in Act 4, specifically the early 'Bridge' side mission and the 'Get the Red' main mission.

Those require a number of one-shot kills at 400-500m—one-shot because mission fails if the alarm is raised. I've bee using a x12 scope until now, but need longer for this—best I have is a x4-14-24-34 scope.

Problem is when at x24 or x34, with breath control, lying prone and bipod deployed, the scope is still wandering around way more than I'd like—ie getting a decent bead on the target is more luck than precision. Is there a magic bullet—ha ha ;)—or is that meant to be the challenge as the game gets more difficult? I'm playing on Normal difficulty.
 
Update for those following this thrilling saga of self-discovery:

lying prone and bipod deployed, the scope is still wandering around way more than I'd like
I found the missing ingredient by accident. The game has a 'Supported Stance' mechanism, which reduces sway or instability considerably—I've used it while crouching at a wall quite often.

What I didn't realize—because it never jumped up and bit me—was that you can get Supported Stance in the more general environment too, eg on rocks, when prone with bipod.

The teeth marks were worth it—this is far better than using a semi-automatic for its better firing rate to pump 2-3 bullets at a distant target. Bipod ftw!
 

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