refactor(search): use native binding for value prop

src/Search/Search.svelte

@@ -37,9 +37,6 @@
   /** Specify the value of the search input */
   export let value = "";
 
-  /** Specify the `type` attribute of the search input */
-  export let type = "text";
-
   /** Specify the `placeholder` attribute of the search input */
   export let placeholder = "Search...";
 
@@ -125,6 +122,8 @@
     <!-- svelte-ignore a11y-autofocus -->
     <input
       bind:this="{ref}"
+      bind:value
+      type="text"
       role="searchbox"
       class:bx--search-input="{true}"
       autofocus="{autofocus === true ? true : undefined}"
@@ -132,14 +131,9 @@
       disabled="{disabled}"
       id="{id}"
       placeholder="{placeholder}"
-      type="{type}"
-      value="{value}"
       {...$$restProps}
       on:change
       on:input
-      on:input="{({ target }) => {
-        value = target.value;
-      }}"
       on:focus
       on:focus="{() => {
         if (expandable) expanded = true;