fix(web): 四个页面共用一份会话列表，空会话不入列

对话、星盘、星历、报告进同一 (app) 外壳，列表只拉一次。服务端不再列出空咨询；新建复用已有空会话。新标题改成「生时校正 · M月D日」，侧栏副标题用创建时间。

frontend/tests/local-postgres-or.test.ts

@@ -0,0 +1,50 @@
+import assert from "node:assert/strict";
+import { readFileSync } from "node:fs";
+import test from "node:test";
+
+import { compilePostgrestOr } from "../src/lib/db/local-postgres-client-core.ts";
+import { sessionCursorFilter } from "../src/lib/session-cursor.ts";
+
+const core = readFileSync(new URL("../src/lib/db/local-postgres-client-core.ts", import.meta.url), "utf8");
+const listRoute = readFileSync(new URL("../src/app/api/sessions/route.ts", import.meta.url), "utf8");
+
+test("or() compiles a comma-separated PostgREST filter", () => {
+  const parameters: unknown[] = [];
+  const sql = compilePostgrestOr(
+    "session_type.neq.consultation,messages.neq.[]",
+    parameters,
+    new Map([
+      ["session_type", "text"],
+      ["messages", "jsonb"],
+    ]),
+  );
+  assert.equal(sql, '("session_type" <> $1 or "messages" <> $2)');
+  assert.deepEqual(parameters, ["consultation", "[]"]);
+  assert.match(core, /or\(expression: string\)/);
+});
+
+test("or() compiles the session cursor filter with a nested and", () => {
+  const cursor = sessionCursorFilter({
+    updatedAt: "2026-09-03T07:09:23Z",
+    id: "11111111-1111-4111-8111-111111111111",
+  });
+  const parameters: unknown[] = [];
+  const sql = compilePostgrestOr(
+    cursor,
+    parameters,
+    new Map([
+      ["updated_at", "timestamptz"],
+      ["id", "uuid"],
+    ]),
+  );
+  assert.equal(
+    sql,
+    '("updated_at" < $1 or ("updated_at" = $2 and "id" < $3))',
+  );
+  assert.deepEqual(parameters, [
+    "2026-09-03T07:09:23Z",
+    "2026-09-03T07:09:23Z",
+    "11111111-1111-4111-8111-111111111111",
+  ]);
+  assert.match(listRoute, /pageQuery = pageQuery\.or\(sessionCursorFilter\(cursor\)\)/);
+});