Add a search to the showcase

A search app bar looks through every section, example and component,
opens the section, or the example at its anchor on its page, and is
reached from anywhere with / or Ctrl+K. Section pages now carry their
own heading.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01V9NnLxnPp8vaaurb3Z1MFy

resources/views/showcase/sections/pickers.blade.php

@@ -1,6 +1,6 @@
 @php
     $examples = [
-        'docked' => <<<'BLADE'
+        'Docked' => <<<'BLADE'
             <div class="grid w-full gap-6 md:grid-cols-2" x-data="{ expires: '{{ now()->addWeek()->format('Y-m-d') }}', starts: null }">
                 <div class="grid content-start gap-4">
                     <x-datepicker label="Expires on" clearable x-model="expires" hint="Type a date or pick one" />
@@ -13,7 +13,7 @@
                 </div>
             </div>
             BLADE,
-        'modal and modal input' => <<<'BLADE'
+        'Modal and modal input' => <<<'BLADE'
             <div class="grid w-full gap-6 md:grid-cols-2" x-data="{ birthday: '1990-05-17', delivery: null }">
                 <div class="grid content-start gap-4">
                     <x-datepicker label="Birthday" mode="modal" x-model="birthday" :max="now()" />
@@ -26,7 +26,7 @@
                 </div>
             </div>
             BLADE,
-        'range' => <<<'BLADE'
+        'Range' => <<<'BLADE'
             <div class="grid w-full gap-6 md:grid-cols-2" x-data="{ trip: { start: '{{ now()->addDays(3)->format('Y-m-d') }}', end: '{{ now()->addDays(9)->format('Y-m-d') }}' }, leave: { start: null, end: null } }">
                 <div class="grid content-start gap-4">
                     <x-datepicker label="Trip" range x-model="trip" />
@@ -39,7 +39,7 @@
                 </div>
             </div>
             BLADE,
-        'limits, errors and states' => <<<'BLADE'
+        'Limits, errors and states' => <<<'BLADE'
             <div class="grid w-full gap-6 md:grid-cols-2">
                 <div class="grid content-start gap-4">
                     <x-datepicker label="Within the next 30 days" :min="now()" :max="now()->addDays(30)" hint="Days outside are disabled" />