feat: improve app ui and project metadata

apps/web/lib/skills/skills.ts

@@ -27,6 +27,21 @@ export function tierLabel(tier: string): string {
 
 export type SkillGroups = { scope: string; skills: SkillView[] }[];
 
+export interface SkillCount {
+  key: string;
+  count: number;
+}
+
+export interface SkillsSummary {
+  total: number;
+  readonlyCount: number;
+  writableCount: number;
+  scopes: SkillCount[];
+  tiers: SkillCount[];
+  readableTables: string[];
+  writableTables: string[];
+}
+
 // 按 scope 分组（保持服务端 name 升序）；scope 顺序按首次出现。
 export function groupByScope(
   skills: readonly SkillView[] | undefined,
@@ -42,3 +57,41 @@ export function groupByScope(
   }
   return order.map((scope) => ({ scope, skills: map.get(scope) ?? [] }));
 }
+
+export function summarizeSkills(
+  skills: readonly SkillView[] | undefined,
+): SkillsSummary {
+  const scopeCounts = new Map<string, number>();
+  const tierCounts = new Map<string, number>();
+  const readableTables = new Set<string>();
+  const writableTables = new Set<string>();
+  let writableCount = 0;
+
+  for (const skill of skills ?? []) {
+    scopeCounts.set(skill.scope, (scopeCounts.get(skill.scope) ?? 0) + 1);
+    tierCounts.set(skill.tier, (tierCounts.get(skill.tier) ?? 0) + 1);
+    for (const table of skill.reads ?? []) {
+      readableTables.add(table);
+    }
+    if (skill.writes && skill.writes.length > 0) {
+      writableCount += 1;
+      for (const table of skill.writes) {
+        writableTables.add(table);
+      }
+    }
+  }
+
+  return {
+    total: skills?.length ?? 0,
+    readonlyCount: (skills?.length ?? 0) - writableCount,
+    writableCount,
+    scopes: countsFromMap(scopeCounts),
+    tiers: countsFromMap(tierCounts),
+    readableTables: [...readableTables].sort(),
+    writableTables: [...writableTables].sort(),
+  };
+}
+
+function countsFromMap(map: Map<string, number>): SkillCount[] {
+  return [...map.entries()].map(([key, count]) => ({ key, count }));
+}