desktop: reminders reach you when the window isn't in front

A Rust worker reads due reminders from the local store every 15 s and
announces each occurrence once: always to the main window as a toast, and
as a system notification (tauri-plugin-notification) when that window
isn't focused. The page no longer polls on the desktop; its Notification
went nowhere in WebKitGTK and its timer stopped with the window. The
Reminders page says what each surface actually does.

Core gains store::due_reminders, compared by instant, not by string.

Refs #5171

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

core/src/local/store.rs

@@ -375,6 +375,41 @@ pub fn reminders(conn: &Connection) -> rusqlite::Result<Vec<Note>> {
     ids.iter().map(|id| load_note(conn, id)).collect()
 }
 
+/// Reminders due at or before `now_ms`, soonest first, trash excluded.
+///
+/// Read on a timer by the desktop's reminder worker, so only the notes that are
+/// actually due are loaded in full (for their title). A `remind_at` that doesn't
+/// parse is left out: it can never come due, and announcing it would be a guess.
+pub fn due_reminders(conn: &Connection, now_ms: i64) -> rusqlite::Result<Vec<DueReminder>> {
+    let set: Vec<(String, String)> = {
+        let mut stmt = conn.prepare(
+            "SELECT id, remind_at FROM notes WHERE trashed = 0 AND remind_at IS NOT NULL ORDER BY remind_at ASC",
+        )?;
+        let rows = stmt.query_map([], |r| Ok((r.get(0)?, r.get(1)?)))?;
+        rows.collect::<rusqlite::Result<_>>()?
+    };
+    let mut due = Vec::new();
+    for (id, remind_at) in set {
+        let Ok(at) = DateTime::parse_from_rfc3339(&remind_at) else {
+            continue;
+        };
+        let due_ms = at.timestamp_millis();
+        if due_ms > now_ms {
+            continue;
+        }
+        let title = load_note(conn, &id)?.display_title;
+        due.push(DueReminder {
+            id,
+            title,
+            remind_at,
+            due_ms,
+        });
+    }
+    // By instant, not by string: a synced `+00:00` and a local `Z` sort apart.
+    due.sort_by_key(|d| d.due_ms);
+    Ok(due)
+}
+
 pub fn titles(conn: &Connection) -> rusqlite::Result<Vec<TitleEntry>> {
     // Names come from `load_note` so the palette and the card can never disagree
     // about what a note is called. The command palette reads this; correctness
@@ -1521,6 +1556,45 @@ mod tests {
         );
     }
 
+    #[test]
+    fn only_reminders_already_due_are_due() {
+        let conn = db();
+        let past = note(&conn, "past");
+        let future = note(&conn, "future");
+        let binned = note(&conn, "binned");
+        update_note(
+            &conn,
+            &past.id,
+            &json!({"remind_at": "2026-03-01T09:00:00.000Z"}),
+        )
+        .expect("remind");
+        update_note(
+            &conn,
+            &future.id,
+            &json!({"remind_at": "2026-03-01T11:00:00.000Z"}),
+        )
+        .expect("remind");
+        update_note(
+            &conn,
+            &binned.id,
+            &json!({"remind_at": "2026-03-01T08:00:00.000Z"}),
+        )
+        .expect("remind");
+        trash(&conn, &binned.id).expect("trash");
+        let ten = DateTime::parse_from_rfc3339("2026-03-01T10:00:00Z")
+            .expect("rfc3339")
+            .timestamp_millis();
+
+        let due = due_reminders(&conn, ten).expect("due");
+        assert_eq!(due.len(), 1);
+        assert_eq!(due[0].id, past.id);
+        assert_eq!(due[0].title, past.display_title);
+        assert_eq!(due[0].remind_at, "2026-03-01T09:00:00.000Z");
+        assert_eq!(due[0].due_ms, ten - 3_600_000);
+        // At the instant itself it is due.
+        assert_eq!(due_reminders(&conn, ten + 3_600_000).expect("due").len(), 2);
+    }
+
     // ---- labels ----------------------------------------------------------------
 
     #[test]