search is a facet on the board, not a place you go

Operator (note 2930): tags exist so you can *"filter during a search"*. The
server has always been able to do that — `GET /api/notes` composes `?q=` with
`?label=` and the rest into one AND-ed query. The frontend never reached it.

The header search box navigated to `/search`, and that view called a DIFFERENT
endpoint — `GET /api/notes/search?q=`, full text only, no facets at all. So the
one screen you landed on when you searched was the one screen where you could not
narrow by tag. Tag filtering lived on the board's FilterBar, which is where you
weren't searching. Two search boxes, two endpoints, and only the hidden one did
what tags are for.

Now the header box writes `?q=` into the board's URL beside whatever labels are
already there, and stays on the lens you're in — searching while looking at Trash
searches Trash. The box READS from the URL rather than holding its own copy, so
it stays in step with the Filters panel's Clear and with a saved view opened from
the sidebar.

Deleted: `SearchView.vue`, its route, `GET /api/notes/search`, `repo.notes.search`
and both adapter implementations, and the `notes_search` Tauri command whose only
caller was the adapter entry. FilterBar loses its own "Search text…" input — it
was the same facet, hidden behind a collapsed panel, duplicating a box that is
always on screen. Filters now does what its name says: narrowing. The header does
searching.

`core::store::search` STAYS. Android calls it through the FFI (`search_notes`) and
has its own search surface — which has the same no-tag-filter gap the web just
lost, and deserves the same fix on its own terms rather than as a rider here.

src/thoughtsync/notes/__init__.py

@@ -141,8 +141,9 @@ async def list_notes():
             stmt = stmt.where(Note.created_at < before_dt)
         if query_text:
             # Full-text match over the note's name + body (generated tsvector,
-            # migrations 0005/0026), ranked — so the facet bar's text box searches,
-            # not just filters.
+            # migrations 0005/0026), ranked. This is the ONLY text search now: the
+            # separate facet-less `/search` route was removed because landing on it
+            # was the one place you could not also narrow by tag (note 2930).
             tsquery = func.websearch_to_tsquery("english", query_text)
             search_col = literal_column("notes.search_vector")
             stmt = stmt.where(search_col.op("@@")(tsquery)).order_by(
@@ -156,30 +157,6 @@ async def list_notes():
         return jsonify({"notes": await _serialize_notes(db, notes)})
 
 
-@bp.get("/search")
-@login_required
-async def search_notes():
-    q = (request.args.get("q") or "").strip()
-    if not q:
-        return jsonify({"notes": []})
-    async with session_scope() as db:
-        tsquery = func.websearch_to_tsquery("english", q)
-        # search_vector is a generated column (migration 0005), not mapped on the ORM.
-        search_col = literal_column("notes.search_vector")
-        stmt = (
-            select(Note)
-            .where(
-                visible_to_user("note", Note.owner_id, Note.id, g.user_id),
-                Note.deleted_at.is_(None),
-                search_col.op("@@")(tsquery),
-            )
-            .order_by(func.ts_rank(search_col, tsquery).desc(), Note.updated_at.desc())
-            .limit(100)
-        )
-        notes = (await db.scalars(stmt)).all()
-        return jsonify({"notes": await _serialize_notes(db, notes)})
-
-
 @bp.get("/reminders")
 @login_required
 async def list_reminders():