Store URLs in WebappDataStorage, and purge them when history is cleared.

chrome/browser/browsing_data/browsing_data_remover.h

Index: chrome/browser/browsing_data/browsing_data_remover.h
diff --git a/chrome/browser/browsing_data/browsing_data_remover.h b/chrome/browser/browsing_data/browsing_data_remover.h
index fc2dfd9de6788b7a54997f921b6ddde80e7230e0..b5f1a6f18764cbcba7e0d3616431d46a647cc9bb 100644
--- a/chrome/browser/browsing_data/browsing_data_remover.h
+++ b/chrome/browser/browsing_data/browsing_data_remover.h
@@ -393,6 +393,9 @@ class BrowsingDataRemover : public KeyedService
   // Callback on UI thread when the webapp data has been cleared.
   void OnClearedWebappData();
 
+  // Callback on UI thread when the webapp history has been cleared.
+  void OnClearedWebappHistory();
+
   // Callback on UI thread when the offline page data has been cleared.
   void OnClearedOfflinePageData();
 #endif
@@ -457,6 +460,7 @@ class BrowsingDataRemover : public KeyedService
 #if BUILDFLAG(ANDROID_JAVA_UI)
   bool waiting_for_clear_precache_history_ = false;
   bool waiting_for_clear_webapp_data_ = false;
+  bool waiting_for_clear_webapp_history_ = false;
   bool waiting_for_clear_offline_page_data_ = false;
 #endif
   bool waiting_for_clear_storage_partition_data_ = false;