Scope folder rail counts to the page's visible items

Rail/chip/sheet counts now derive from the same item set the list renders
(archived routines excluded; skills scoped to category/search), per ux-spec
§5.3, instead of raw DB counts.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

ui/src/pages/CompanySkills.tsx

@@ -4583,6 +4583,30 @@ export function CompanySkills() {
     : "Create an editable company skill in the Paperclip workspace.";
   const skillFolderResult = skillFoldersQuery.data ?? null;
   const showInstalledFolders = isDiscovery && discoveryTab === "installed";
+  // Rail counts reflect the current category/search scope, never the folder
+  // filter itself (ux-spec §5.3).
+  const railSkillFolderResult = useMemo(() => {
+    if (!skillFolderResult || discoveryTab !== "installed") return skillFolderResult;
+    const scoped = discoveryTabCards.filter((card) => {
+      if (discoveryCategory && !card.categories.includes(discoveryCategory)) return false;
+      return discoveryMatchesSearch(card, discoverySearch.trim());
+    });
+    const counts = new Map<string, number>();
+    let unfiled = 0;
+    for (const card of scoped) {
+      if (card.folderId) counts.set(card.folderId, (counts.get(card.folderId) ?? 0) + 1);
+      else unfiled += 1;
+    }
+    return {
+      ...skillFolderResult,
+      allCount: scoped.length,
+      unfiledCount: unfiled,
+      folders: skillFolderResult.folders.map((folder) => ({
+        ...folder,
+        itemCount: counts.get(folder.id) ?? 0,
+      })),
+    };
+  }, [skillFolderResult, discoveryTab, discoveryTabCards, discoveryCategory, discoverySearch]);
 
   return (
     <>
@@ -4777,7 +4801,7 @@ export function CompanySkills() {
       <MobileFolderSheet
         open={mobileFoldersOpen}
         onOpenChange={setMobileFoldersOpen}
-        result={skillFolderResult}
+        result={railSkillFolderResult}
         selection={folderSelection}
         allLabel="All skills"
         itemLabelPlural="Skills"
@@ -4840,7 +4864,7 @@ export function CompanySkills() {
           onScan={() => scanProjects.mutate()}
           scanPending={scanProjects.isPending}
           scanStatus={scanStatusMessage}
-          folderResult={showInstalledFolders ? skillFolderResult : null}
+          folderResult={showInstalledFolders ? railSkillFolderResult : null}
           folderSelection={folderSelection}
           foldersLoading={skillFoldersQuery.isLoading}
           selectMode={showInstalledFolders && selectMode}

ui/src/pages/Routines.tsx

@@ -604,6 +604,26 @@ export function Routines() {
     if (folderSelection === "unfiled") return visibleRoutines.filter((routine) => !routine.folderId);
     return visibleRoutines.filter((routine) => routine.folderId === folderSelection);
   }, [folderSelection, routineViewState.groupBy, visibleRoutines]);
+  // Rail counts reflect the page's visible scope (archived hidden), not raw DB
+  // counts (ux-spec §5.3).
+  const railFolderResult = useMemo(() => {
+    if (!routineFolders) return routineFolders;
+    const counts = new Map<string, number>();
+    let unfiled = 0;
+    for (const routine of visibleRoutines) {
+      if (routine.folderId) counts.set(routine.folderId, (counts.get(routine.folderId) ?? 0) + 1);
+      else unfiled += 1;
+    }
+    return {
+      ...routineFolders,
+      allCount: visibleRoutines.length,
+      unfiledCount: unfiled,
+      folders: routineFolders.folders.map((folder) => ({
+        ...folder,
+        itemCount: counts.get(folder.id) ?? 0,
+      })),
+    };
+  }, [routineFolders, visibleRoutines]);
   const sortedRoutines = useMemo(
     () => sortRoutines(folderFilteredRoutines, routineViewState.sortField, routineViewState.sortDir),
     [folderFilteredRoutines, routineViewState.sortDir, routineViewState.sortField],
@@ -834,7 +854,7 @@ export function Routines() {
           {routineViewState.groupBy === "folder" ? (
             <div className="md:hidden">
               <FolderChip
-                result={routineFolders}
+                result={railFolderResult}
                 selection={folderSelection}
                 allLabel="All routines"
                 onClick={() => setMobileFoldersOpen(true)}
@@ -1144,7 +1164,7 @@ export function Routines() {
         <div className={cn(showFolderRail && "flex gap-4")}>
           {showFolderRail ? (
             <FolderRail
-              result={routineFolders}
+              result={railFolderResult}
               selection={folderSelection}
               allLabel="All routines"
               itemLabelPlural="routines"
@@ -1320,7 +1340,7 @@ export function Routines() {
       <MobileFolderSheet
         open={mobileFoldersOpen}
         onOpenChange={setMobileFoldersOpen}
-        result={routineFolders}
+        result={railFolderResult}
         selection={folderSelection}
         allLabel="All routines"
         itemLabelPlural="Routines"