fix: resolve server TS errors — jwt type augmentation, sign options, services import

bump version to 0.3.1

server/src/types/index.ts

@@ -10,11 +10,12 @@ export interface JwtPayload {
   exp?: number
 }
 
-// ─── Fastify type augmentation ────────────────────────────────────────────────
+// ─── @fastify/jwt type augmentation ───────────────────────────────────────────
 
-declare module 'fastify' {
-  interface FastifyRequest {
-    user?: JwtPayload
+declare module '@fastify/jwt' {
+  interface FastifyJWT {
+    payload: JwtPayload
+    user: JwtPayload
   }
 }