fix(bridge-ui): URL change won't update activeTab (#13485)

Co-authored-by: jeff <113397187+cyberhorsey@users.noreply.github.com>
Co-authored-by: Francisco Ramos <jscriptcoder@gmail.com>
Co-authored-by: shadab-taiko <108871478+shadab-taiko@users.noreply.github.com>

packages/bridge-ui/src/components/Tabs/Tabs.svelte

@@ -1,4 +1,7 @@
 <script lang="ts" context="module">
+  import { getContext } from 'svelte';
+  import type { Writable } from 'svelte/store';
+
   export const key = Symbol();
 </script>
 
@@ -10,6 +13,8 @@
 
   // State only available to the component and its descendants
   setContext(key, writable(activeTab));
+  const currentActiveTab = getContext<Writable<string>>(key);
+  $: $currentActiveTab = activeTab;
 </script>
 
 <div class={$$restProps.class} style={$$restProps.style}>