feat(backend): add tRPC with Hono adapter

- Add @trpc/server, @hono/trpc-server, zod dependencies
- Create tRPC context with BetterAuth session
- Create router with publicProcedure and protectedProcedure
- Mount tRPC at /trpc/* via Hono adapter

Co-authored-by: Ona <no-reply@ona.com>

apps/aris-backend/src/server.ts

@@ -1,6 +1,9 @@
+import { trpcServer } from "@hono/trpc-server"
 import { Hono } from "hono"
 
 import { registerAuthHandlers } from "./auth/http.ts"
+import { createContext } from "./trpc/context.ts"
+import { appRouter } from "./trpc/router.ts"
 
 const app = new Hono()
 
@@ -8,6 +11,14 @@ app.get("/health", (c) => c.json({ status: "ok" }))
 
 registerAuthHandlers(app)
 
+app.use(
+	"/trpc/*",
+	trpcServer({
+		router: appRouter,
+		createContext,
+	}),
+)
+
 export default {
 	port: 3000,
 	fetch: app.fetch,