[cr147] Fix ExtensionsAPIProvider stub

`RegisterManifestHandlers` now takes an argument, which is of no
relevance for the override in place.

Chromium changes:
https://chromium.googlesource.com/chromium/src/+/408aa6609b730ac50fc290c68c7120bd12ec576f

commit 408aa6609b730ac50fc290c68c7120bd12ec576f
Author: Ehtesham Zahid <ehteshamzahid313@gmail.com>
Date:   Mon Feb 23 08:24:29 2026 -0800

    [Extensions] Use dependency injection for ManifestHandlerRegistry

    This CL refactors ExtensionsAPIProvider::RegisterManifestHandlers() to
    accept a ManifestHandlerRegistry pointer. This eliminates the need for
    individual providers and handlers to call the global
    ManifestHandlerRegistry::Get() singleton.

    By injecting the dependency from ExtensionsClient::DoInitialize, we
    make the extensions startup sequence more explicit and reduce reliance
    on global state. Fulfills a TODO by devlin@.

    Bug: 485145030
    Test: autoninja -C out/Default chrome
    Test: Manually verified extension icons and permissions in chrome://extensions
    Change-Id: I5002625d0e97068720c52e7b212274741de18348
    Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/7582039
    Reviewed-by: Devlin Cronin <rdevlin.cronin@chromium.org>
    Reviewed-by: Solomon Kinard <solomonkinard@chromium.org>
    Commit-Queue: Avi Drissman <avi@chromium.org>
    Reviewed-by: Avi Drissman <avi@chromium.org>
    Cr-Commit-Position: refs/heads/main@{#1588719}

common/extensions/brave_extensions_api_provider.cc

@@ -57,7 +57,8 @@ void BraveExtensionsAPIProvider::RegisterPermissions(
   // No brave-specific permissions.
 }
 
-void BraveExtensionsAPIProvider::RegisterManifestHandlers() {
+void BraveExtensionsAPIProvider::RegisterManifestHandlers(
+    ManifestHandlerRegistry* registry) {
   // No brave-specific manifest handlers.
 }
 

common/extensions/brave_extensions_api_provider.h

@@ -30,7 +30,7 @@ class BraveExtensionsAPIProvider : public ExtensionsAPIProvider {
   bool IsAPISchemaGenerated(const std::string& name) override;
   std::string_view GetAPISchema(const std::string& name) override;
   void RegisterPermissions(PermissionsInfo* permissions_info) override;
-  void RegisterManifestHandlers() override;
+  void RegisterManifestHandlers(ManifestHandlerRegistry* registry) override;
 
  private:
 };