feat: read the profile's topics from Studio, and add working-copy deletion

Two things an author could not control from Studio.

The profile's "주요 관심 주제" was four strings in the JSX. Creating or removing
a topic in Studio changed nothing, and correcting the list meant a rebuild and
a redeploy. It now renders the published topic list. The old literal opened
with "Backend Architecture", which no record in the catalogue actually carries
— the profile was advertising a topic that did not exist, and nothing could
have caught that while the list lived in the markup.

The working-copy list gained a delete control. It routes by kind because the
contract and the storage both do: Case and Reference share one table split by
type, Question is its own. Decision has no delete — its lifecycle is accept,
reject, supersede, which records what happened rather than erasing it — so the
control does not appear for it.

The list summary carries no version, so deletion reads the working copy first
and uses the version it finds. A stale version from a list left open should
fail as a conflict, not delete whatever is there now.

src/features/tech-log/adapters/static/public-query.ts

@@ -10,7 +10,10 @@ import {
   type Release,
   type HomeFocusItem,
 } from "./public-content.ts";
-import type { PublicContentQueries } from "../../application/ports/public-content-queries.ts";
+import type {
+  PublicContentQueries,
+  PublicTopic,
+} from "../../application/ports/public-content-queries.ts";
 
 export type RecordFilters = {
   kind?: RecordKind;
@@ -98,6 +101,24 @@ export function getProjectActivity(projectSlug: string): ProjectActivity[] {
   return [...(getProject(projectSlug)?.activity ?? [])];
 }
 
+/**
+ * 정적 카탈로그에는 주제 테이블이 없다 — 기록마다 붙은 주제 이름이 있을 뿐이다. 그것을 모아
+ * 세면 백엔드의 `listPublicTopics` 와 같은 모양이 되고, 이 어댑터의 목적(백엔드 없이 화면을
+ * 그린다)에도 맞는다.
+ */
+export function listTopics(): PublicTopic[] {
+  const counts = new Map<string, { name: string; slug: string; recordCount: number }>();
+  for (const record of listRecords()) {
+    if (!record.topic) continue;
+    const existing = counts.get(record.topicSlug);
+    if (existing) existing.recordCount += 1;
+    else counts.set(record.topicSlug, { name: record.topic, slug: record.topicSlug, recordCount: 1 });
+  }
+  return [...counts.values()]
+    .sort((left, right) => right.recordCount - left.recordCount || (left.name < right.name ? -1 : 1))
+    .map((entry) => Object.freeze(entry));
+}
+
 export function getHomeFocusItems(): HomeFocusItem[] {
   const project = getProject("backend-skeleton");
   const question = getRecord("QUESTION", "validate-edge-token-again");
@@ -240,6 +261,9 @@ export const publicContentQueries = Object.freeze({
   async getProjectActivity(projectSlug: string) {
     return getProjectActivity(projectSlug);
   },
+  async listTopics() {
+    return listTopics();
+  },
   async getHomeFocusItems() {
     return getHomeFocusItems();
   },