feat: add SQLite database and persistent task schema

types/node-sqlite.d.ts

@@ -0,0 +1,19 @@
+declare module "node:sqlite" {
+  export type RunResult = {
+    changes: number;
+    lastInsertRowid: number | bigint;
+  };
+
+  export class StatementSync {
+    all(...params: unknown[]): unknown[];
+    get(...params: unknown[]): unknown;
+    run(...params: unknown[]): RunResult;
+  }
+
+  export class DatabaseSync {
+    constructor(location?: string | URL, options?: Record<string, unknown>);
+    close(): void;
+    exec(sql: string): void;
+    prepare(sql: string): StatementSync;
+  }
+}