♻️ refactor: remove duplicated code (Quick Wins)

- Delete unused Input.svelte from Picture app (70 LOC)
- Remove sleep() from shared-api-client, import from shared-utils
- Fix NodeJS.Timeout type for browser compatibility

Part of consolidation effort - see docs/CONSOLIDATION_OPPORTUNITIES.md

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

apps/picture/apps/web/src/lib/components/ui/Input.svelte

@@ -1,69 +0,0 @@
-<script lang="ts">
-	interface Props {
-		type?: 'text' | 'email' | 'password' | 'number' | 'tel' | 'url';
-		value?: string;
-		placeholder?: string;
-		label?: string;
-		error?: string;
-		disabled?: boolean;
-		required?: boolean;
-		class?: string;
-		id?: string;
-		name?: string;
-		autocomplete?: AutoFill;
-		onchange?: (e: Event) => void;
-		oninput?: (e: Event) => void;
-	}
-
-	let {
-		type = 'text',
-		value = $bindable(''),
-		placeholder = '',
-		label = '',
-		error = '',
-		disabled = false,
-		required = false,
-		class: className = '',
-		id = '',
-		name = '',
-		autocomplete,
-		onchange,
-		oninput,
-	}: Props = $props();
-
-	const inputId = id || name || `input-${Math.random().toString(36).substr(2, 9)}`;
-
-	const baseStyles =
-		'flex h-10 w-full rounded-md border border-gray-300 bg-white px-3 py-2 text-sm placeholder:text-gray-400 focus:outline-none focus:ring-2 focus:ring-blue-600 focus:ring-offset-2 disabled:cursor-not-allowed disabled:opacity-50';
-
-	const errorStyles = error ? 'border-red-500 focus:ring-red-600' : '';
-
-	const inputClass = `${baseStyles} ${errorStyles} ${className}`;
-</script>
-
-{#if label}
-	<label for={inputId} class="mb-2 block text-sm font-medium text-gray-700">
-		{label}
-		{#if required}
-			<span class="text-red-500">*</span>
-		{/if}
-	</label>
-{/if}
-
-<input
-	{type}
-	bind:value
-	{placeholder}
-	{disabled}
-	{required}
-	{name}
-	{autocomplete}
-	id={inputId}
-	class={inputClass}
-	{onchange}
-	{oninput}
-/>
-
-{#if error}
-	<p class="mt-1 text-sm text-red-600">{error}</p>
-{/if}