Add search filter state syncing

views/search.html

@@ -30,6 +30,20 @@
     </button>
   </header>
 
+  <div
+    id="searchActiveFilters"
+    class="hidden flex flex-wrap items-center gap-2 rounded-xl border border-border bg-surface/70 px-3 py-2 text-xs text-text"
+  >
+    <div id="searchActiveFiltersList" class="flex flex-wrap gap-2"></div>
+    <button
+      id="searchActiveFiltersClear"
+      type="button"
+      class="btn-ghost text-xs"
+    >
+      Clear all
+    </button>
+  </div>
+
   <section class="bv-stack">
     <h2 class="text-lg font-semibold uppercase tracking-wide text-muted-strong">
       Channels