Fix companions API (column rename), home search, search URL params

- Fix companion_relationships column: relationship → companion_type (with AS alias)
- Home page search passes query via ?q= URL param
- Search page reads ?q= on load and auto-searches

herbapi-ui/src/pages/home.rs

@@ -53,8 +53,11 @@ pub fn Home() -> Element {
                     oninput: move |e| search_query.set(e.value()),
                     onkeydown: move |e| {
                         if e.key() == Key::Enter {
-                            let nav = navigator();
-                            nav.push(Route::SearchPage {});
+                            let q = search_query.read().clone();
+                            if !q.is_empty() {
+                                let nav = navigator();
+                                nav.push(format!("/search?q={}", q).as_str());
+                            }
                         }
                     },
                 }

herbapi-ui/src/pages/search.rs

@@ -7,9 +7,28 @@ use crate::i18n::{pick_name, t, t_val};
 #[component]
 pub fn SearchPage() -> Element {
     let lang = use_context::<Lang>().0;
-    let mut query = use_signal(|| String::new());
+    // Read ?q= from URL on initial load
+    let initial_q = {
+        let window = web_sys::window().unwrap();
+        let search = window.location().search().unwrap_or_default();
+        let params = web_sys::UrlSearchParams::new_with_str(&search).ok();
+        params.and_then(|p| p.get("q")).unwrap_or_default()
+    };
+    let has_initial = !initial_q.is_empty();
+    let mut query = use_signal(move || initial_q.clone());
     let mut results = use_signal(|| None::<Result<Vec<crate::types::SearchResult>, String>>);
 
+    // Auto-search on load if ?q= was provided
+    let mut did_initial = use_signal(|| false);
+    if has_initial && !*did_initial.read() {
+        did_initial.set(true);
+        let q = query.read().clone();
+        spawn(async move {
+            let res = api::search(&q, 50).await;
+            results.set(Some(res));
+        });
+    }
+
     let trigger_search = move || {
         let q = query.read().clone();
         if !q.is_empty() {