Route Soma carousel autoplay through timers

src/uix/soma/components/carousel/carousel-provider.svelte.ts

@@ -86,11 +86,20 @@ export class CarouselProvider {
 			if (!opts.autoplay.current) return;
 			if (this.isDisabled) return;
 			if (this.paused) return;
-			const id = setInterval(() => this.next(), opts.autoplayDelay.current);
-			return () => clearInterval(id);
+			const handle = this.soma.uix.timers.interval(
+				this.autoplayTimerKey,
+				opts.autoplayDelay.current,
+				() => this.next(),
+				{ replace: true, meta: { component: 'carousel', action: 'autoplay' } }
+			);
+			return () => handle.cancel();
 		});
 	}
 
+	private get autoplayTimerKey() {
+		return `soma:carousel:${this.opts.id.current}:autoplay`;
+	}
+
 	// ── Slide detection (live DOM query) ────────────────────────────────────
 
 	getItems(): HTMLElement[] {