docs(search-field demo): add live filterable results panel

The demo only had the SearchField input by itself with a trace strip;
nothing actually demonstrated the search outcome. Added a 34-item
dataset of UIX components (name + group) and a live results grid that
filters by name or group substring as the user types.

- Empty input renders 34/34 results.
- Typing "form" filters to 17 components from the Forms group.
- "drawer" filters to 1 (Drawer).
- Empty results state renders a graceful "No matches for ..." message.
- Counter shows `results N / total` so the demo doubles as a quick
  feedback loop for the debounceMs control (count + meta animate
  together when the debounced onValueChange finally fires).

CSS lives inline in the demo (`.search-field-results*` selectors) since
this is demo content rather than reusable component visuals.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

web/routes/uix/components/search-field/+page.svelte

@@ -38,6 +38,53 @@
 	const partsList = $derived([...compiled.parts.byKebab.values()]);
 	const events = $derived([...compiled.actions.byName.values()]);
 	const isEmpty = $derived(value.length === 0);
+
+	// Demo dataset for the live search panel.
+	const components: { name: string; group: string }[] = [
+		{ name: 'Accordion', group: 'Disclosure' },
+		{ name: 'Avatar', group: 'Media' },
+		{ name: 'Breadcrumb', group: 'Navigation' },
+		{ name: 'Button', group: 'Action' },
+		{ name: 'Calendar', group: 'Forms' },
+		{ name: 'Checkbox', group: 'Forms' },
+		{ name: 'Collapsible', group: 'Disclosure' },
+		{ name: 'Color picker', group: 'Forms' },
+		{ name: 'Combobox', group: 'Forms' },
+		{ name: 'Date picker', group: 'Forms' },
+		{ name: 'Dialog', group: 'Overlay' },
+		{ name: 'Drawer', group: 'Overlay' },
+		{ name: 'Editable', group: 'Forms' },
+		{ name: 'Field', group: 'Forms' },
+		{ name: 'File upload', group: 'Forms' },
+		{ name: 'Icon', group: 'Media' },
+		{ name: 'Meter', group: 'Status' },
+		{ name: 'Number field', group: 'Forms' },
+		{ name: 'Pagination', group: 'Navigation' },
+		{ name: 'Popover', group: 'Overlay' },
+		{ name: 'Progress', group: 'Status' },
+		{ name: 'Radio group', group: 'Forms' },
+		{ name: 'Rating group', group: 'Forms' },
+		{ name: 'Search field', group: 'Forms' },
+		{ name: 'Select', group: 'Forms' },
+		{ name: 'Slider', group: 'Forms' },
+		{ name: 'Switch', group: 'Forms' },
+		{ name: 'Tabs', group: 'Disclosure' },
+		{ name: 'Tag group', group: 'Forms' },
+		{ name: 'Time picker', group: 'Forms' },
+		{ name: 'Toast', group: 'Overlay' },
+		{ name: 'Toggle', group: 'Action' },
+		{ name: 'Toolbar', group: 'Action' },
+		{ name: 'Tooltip', group: 'Overlay' }
+	];
+
+	// Filter matches name OR group, case-insensitive.
+	const results = $derived.by(() => {
+		const q = value.trim().toLowerCase();
+		if (!q) return components;
+		return components.filter(
+			(c) => c.name.toLowerCase().includes(q) || c.group.toLowerCase().includes(q)
+		);
+	});
 	const variants: SearchFieldVariant[] = ['surface', 'outline', 'ghost'];
 	const colors: SearchFieldColor[] = [
 		'primary',
@@ -170,6 +217,31 @@
 						<X size="1em" decorative />
 					</SearchField.ClearTrigger>
 				</SearchField>
+
+				<!-- Live result panel — filters the demo dataset by name/group. -->
+				<ul
+					class="search-field-results"
+					role="listbox"
+					aria-label="Filtered components"
+					aria-live="polite"
+				>
+					{#if results.length === 0}
+						<li class="search-field-results-empty">
+							No matches for <strong>"{value}"</strong>
+						</li>
+					{:else}
+						{#each results as item (item.name)}
+							<li class="search-field-result" role="option" aria-selected="false">
+								<span class="search-field-result-name">{item.name}</span>
+								<span class="search-field-result-group">{item.group}</span>
+							</li>
+						{/each}
+					{/if}
+				</ul>
+				<div class="search-field-results-meta">
+					<span data-uix-stage-trace-key>results</span>
+					{results.length} / {components.length}
+				</div>
 			</div>
 		</div>
 		<div data-uix-stage-trace>
@@ -561,3 +633,51 @@
 		</section>
 	{/if}
 </div>
+
+<style>
+	.search-field-results {
+		display: grid;
+		grid-template-columns: repeat(auto-fill, minmax(10rem, 1fr));
+		gap: var(--uix-space-1);
+		margin-block-start: var(--uix-space-3);
+		padding: 0;
+		list-style: none;
+		max-block-size: 14rem;
+		overflow-y: auto;
+	}
+	.search-field-result {
+		display: flex;
+		align-items: baseline;
+		justify-content: space-between;
+		gap: var(--uix-space-2);
+		padding: var(--uix-space-1-5) var(--uix-space-2);
+		border: 1px solid var(--color-border-subtle);
+		border-radius: var(--radius-md);
+		background: var(--color-surface-default);
+		font-size: var(--uix-text-sm);
+	}
+	.search-field-result-name {
+		color: var(--color-content-primary);
+		font-weight: 500;
+	}
+	.search-field-result-group {
+		color: var(--color-content-muted);
+		font-size: var(--uix-text-xs);
+	}
+	.search-field-results-empty {
+		grid-column: 1 / -1;
+		padding: var(--uix-space-3);
+		color: var(--color-content-muted);
+		text-align: center;
+		font-size: var(--uix-text-sm);
+	}
+	.search-field-results-meta {
+		display: flex;
+		align-items: center;
+		gap: var(--uix-space-2);
+		margin-block-start: var(--uix-space-2);
+		color: var(--uix-text-muted);
+		font-family: var(--uix-font-mono);
+		font-size: var(--uix-text-xs);
+	}
+</style>