feat(dashboard): show PR badges and deep-link to Review Center

Add pull request badges to the repository dashboard and enable deep-
linking to the Review Center with a repository and source pre-filter.
Badges are populated by resolving remotes, matching them to configured
integration sources, and querying providers for open PRs while handling
loading, error, and unavailable states. The dashboard badge opens the
Review Center pre-filled and the app stores initial query/source values
to support the deep-link.

- Resolve and normalize remotes to match integration sources reliably.
- Query provider APIs using stored credentials with sensible timeouts.
- Expose a badge action that navigates to the Review Center pre-filtered.

src/App.svelte

@@ -315,6 +315,8 @@
   let unlistenStartupRepository: (() => void) | undefined;
   let activeRepoPath = "";
   let activeView: AppView = "management";
+  let reviewCenterInitialQuery = "";
+  let reviewCenterInitialSourceId = "";
   let repoTabs: RepoTab[] = [];
   let repoTabContextMenu: RepoTabContextMenu | null = null;
   let recentRepoPaths: string[] = [];
@@ -2587,9 +2589,11 @@
     void backgroundRepoStatusTick(false);
   }
 
-  function openReviewCenter() {
+  function openReviewCenter(repository = "", sourceId = "") {
     if (isBusy) return;
     closeRepoTabContextMenu();
+    reviewCenterInitialQuery = repository;
+    reviewCenterInitialSourceId = sourceId;
     activeView = "review-center";
     trackEvent("review_center_opened", { integrations: Object.values(gitIntegrationSettings.providers).filter((provider) => provider.enabled && provider.tokenStored).length });
   }
@@ -5178,7 +5182,7 @@
       {isBusy}
       language={appLanguage}
       onOpenManagement={openRepoManagement}
-      onOpenReviewCenter={openReviewCenter}
+      onOpenReviewCenter={() => openReviewCenter()}
       isActive={(path) => activeView === "repository" && sameRepoPath(activeRepoPath, path)}
       onSelect={selectRepoTab}
       onClose={closeRepoTab}
@@ -5343,15 +5347,19 @@
     {#if activeView === "management"}
       <RepositoryDashboard
         repos={dashboardRepos} language={appLanguage} {isBusy}
+        integrations={gitIntegrationSettings} loadCredential={loadStoredCredential}
         onOpen={selectRepoTab} onAdd={chooseRepositoryFolder} onClone={openCloneDialog}
         onInit={initializeRepository}
         onFavorite={toggleFavoriteRepo} onClose={closeDashboardRepository}
         onRemoveRecent={removeRepoFromRecent}
+        onOpenPullRequests={(repository, sourceId) => openReviewCenter(repository, sourceId)}
       />
     {:else if activeView === "review-center"}
       <ReviewCenter
         language={appLanguage}
         integrations={gitIntegrationSettings}
+        initialQuery={reviewCenterInitialQuery}
+        initialSourceId={reviewCenterInitialSourceId}
         loadCredential={loadStoredCredential}
         onOpenSettings={() => { appSettingsOpen = true; }}
       />