fix(web): consume bundled design system assets (#26391)

* fix: update design system package, replace bg image, remove sync assets

* fix(web): update bundled asset metadata

* fix(web): normalize npm lockfile metadata

* fix(nix): refresh npm lockfile hashes

* chore(ci): trigger PR checks

* fix(web): declare motion peer dependency

* fix(nix): refresh npm lockfile hashes

* chore(ci): trigger PR checks after dependency update

* fix(web): restore cross-platform lockfile entries

* fix(nix): refresh npm lockfile hashes

* chore(ci): trigger PR checks after lockfile restore

---------

Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>

web/src/components/Backdrop.tsx

@@ -1,5 +1,7 @@
 import { useGpuTier } from "@nous-research/ui/hooks/use-gpu-tier";
 
+import fillerBgUrl from "@nous-research/ui/assets/filler-bg0.webp";
+
 /**
  * Replicates the visual layer stack of `<Overlays dark />` from
  * `@nous-research/ui` without pulling in its leva / gsap / three peer deps.
@@ -10,7 +12,7 @@ import { useGpuTier } from "@nous-research/ui/hooks/use-gpu-tier";
  * `ThemeProvider` can repaint the stack without remounting.
  *
  *   z-1   bg = `var(--background-base)`, mix-blend-mode: difference
- *   z-2   filler-bg jpeg, inverted, opacity 0.033, difference
+ *   z-2   bundled filler-bg WebP, inverted, opacity 0.033, difference
  *   z-99  warm top-left vignette (`var(--warm-glow)`), opacity 0.22, lighten
  *   z-101 noise grain (SVG, ~55% opacity × `--noise-opacity-mul`,
  *         color-dodge) — gated on GPU tier
@@ -58,7 +60,7 @@ export function Backdrop() {
           alt=""
           className="h-[150dvh] w-auto min-w-[100dvw] object-cover object-top-left invert theme-default-filler"
           fetchPriority="low"
-          src="/ds-assets/filler-bg0.jpg"
+          src={fillerBgUrl}
         />
       </div>