feat(library): rebuild the browse header as a title row and one command bar

Library, smart scope, collection, authors and series pages share a new
BrowseHeader: the place and its actions on one row, then search, sort,
filters and facets in one bar that folds groups instead of wrapping.
Format chips count from the new POST /libraries/:id/books/facets, built
on the listing's own query; scopes and collections gain filter and sort.

scripts/e2e/suite-registry.mjs

@@ -569,6 +569,24 @@ export const E2E_SUITES = Object.freeze({
       ...SHARED_DB_AND_HELPER_PATHS,
     ],
   },
+  "browse-facets-invariant": {
+    id: "browse-facets-invariant",
+    name: "Browse Facets Invariant",
+    timeout: 45,
+    lane: "full",
+    description: "Asserts library browse facet counts match the listing totals for the same filter, search, and format",
+    vitestTarget: "test/browse-facets-invariant.e2e-spec.ts",
+    junitOutput: `${TEST_RESULTS_DIR}/browse-facets-invariant-e2e-junit.xml`,
+    prepareDedicatedDatabase: true,
+    useDedicatedDatabase: true,
+    changedPaths: [
+      "server/src/modules/book/**",
+      "server/src/modules/library/**",
+      "server/test/browse-facets-invariant.e2e-spec.ts",
+      ...SHARED_TYPES_PATHS,
+      ...SHARED_DB_AND_HELPER_PATHS,
+    ],
+  },
   "server-connection-identity": {
     id: "server-connection-identity",
     name: "Server Connection Identity",