refactor: migrate discord-gateway from winston to @bete/shared/logger and utils

- Replace all local logger imports (../../shared/logger/logger.js) with @bete/shared/logger across 26 files
- Remove winston dependency, add pino to discord-gateway package.json
- Delete shared/logger/logger.ts (winston-based, 132 lines) and serialization.ts (109 lines)
- Replace local retryWithBackoff imports with @bete/shared/utils across 6 files
- Delete shared/utils/retry.ts (42 lines)
- Add CustomLogger type alias to @bete/shared/logger for backwards compatibility
- Remove logger param from all retryWithBackoff calls and uploadToTele interfaces
- Frontend: convert entity type files to re-exports from shared/api/client.ts
- Full monorepo typecheck clean (4/4 packages)

35 files changed, 42 insertions(+), 488 deletions(-)

services/discord-gateway/src/app/bootstrap.ts

@@ -17,7 +17,7 @@ import {
 } from "../shared/database/drizzle.js";
 import { runMigrations } from "../shared/database/migrate.js";
 import { createDiscordClientOptions } from "../shared/discord/clientOptions.js";
-import { createChildLogger } from "../shared/logger/logger.js";
+import { createChildLogger } from "@bete/shared/logger";
 import { createGracefulShutdown } from "./shutdown.js";
 
 const logger = createChildLogger("discord-gateway");