fix: resolve GraphQL request hang in Fastify integration

- Pass FastifyRequest/FastifyReply directly to yoga.handleNodeRequestAndResponse
  per the official graphql-yoga Fastify integration docs. Yoga v5 uses req.body
  (already parsed by Fastify) when available, avoiding the dead raw stream issue.
- Add proper TypeScript generics for server context including db and redis
- Wrap sendVerification/sendPasswordReset in try/catch so missing SMTP
  does not crash register/requestPasswordReset mutations
- Fix migrate.ts path resolution to work with both tsx (src/) and compiled (dist/)
- Expose postgres:5432 and redis:6379 ports in compose.yml for local dev

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

packages/backend/src/graphql/context.ts

@@ -1,10 +1,18 @@
 import type { YogaInitialContext } from "graphql-yoga";
+import type { FastifyRequest, FastifyReply } from "fastify";
 import type { Context } from "./builder";
 import { getSession } from "../lib/auth";
 import { db } from "../db/connection";
 import { redis } from "../lib/auth";
 
-export async function buildContext(ctx: YogaInitialContext & { request: Request; reply: unknown; db: typeof db; redis: typeof redis }): Promise<Context> {
+type ServerContext = {
+  req: FastifyRequest;
+  reply: FastifyReply;
+  db: typeof db;
+  redis: typeof redis;
+};
+
+export async function buildContext(ctx: YogaInitialContext & ServerContext): Promise<Context> {
   const request = ctx.request;
   const cookieHeader = request.headers.get("cookie") || "";