Land a caller's style with its class on field and picker roots

Plan step 38 review: the showcase kept two unlayered width classes
because <x-input> and <x-datepicker> "don't forward style usefully".
They did not: the Phase F rule is that a caller's class and style land
on the component root, and the field family sent class to the field's
root but style to the inner control, where a width sizes nothing.
Input, password, textarea, select and file now pass style to the field
root with class; datepicker and timepicker put it on their root;
<x-group> dropped style entirely and <x-split-button> gave it to the
leading button; <x-search> rendered it twice, on the root and the
input. A textarea given a style also lost its autogrow rows, since
its own style attribute came second and the browser ignores it.
A dataset test renders each component with both and requires them on
the root, once.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Qwx5USif3wFFmxtHg5U1g9

resources/views/components/search.blade.php

@@ -29,7 +29,7 @@
 
      The root renders `data-md-search` with `data-md-trigger`, and `data-md-open` and
      `data-md-full-screen` while they hold; the parts are `data-md-search-*`, drawn by
-     resources/css/components/search.css. `class` and `wire:key` land on the root. --}}
+     resources/css/components/search.css. `class`, `style` and `wire:key` land on the root. --}}
 
 @props([
     'placeholder' => null,
@@ -103,7 +103,7 @@
             x-bind:aria-expanded="open.toString()"
         >
             <input
-                {{ $attributes->except(['class', 'wire:key', 'id', 'placeholder', 'type']) }}
+                {{ $attributes->except(['class', 'style', 'wire:key', 'id', 'placeholder', 'type']) }}
                 x-ref="input"
                 id="{{ $id }}"
                 type="search"