[BOOK-435] fix: 토끼 리뷰 반영

Author: doyeonk429

src/Projects/BKPresentation/Sources/AppCoordinator.swift

@@ -96,7 +96,6 @@ public final class AppCoordinator: Coordinator, AuthenticationRequiredNotifying,
             }
             else if currentVersion < latestVersion {
                 self.presentUpdateSheet(isForced: false) // 권장
-                self.proceedWithAppFlow()
             }
             else {
                 self.proceedWithAppFlow()
@@ -237,7 +236,10 @@ public final class AppCoordinator: Coordinator, AuthenticationRequiredNotifying,
                     leftButtonAction: AppStoreLinker.openAppStore,
                     rightButtonTitle: "나중에 하기",
                     rightButtonAction: { [weak self] in
-                        self?.navigationController.dismiss(animated: true)
+                        guard let self else { return }
+                        self.navigationController.dismiss(animated: true) {
+                            self.proceedWithAppFlow()
+                        }
                     }
                 )
             )