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/shared/database/drizzle.ts

@@ -2,7 +2,7 @@ import { drizzle as drizzlePostgres } from "drizzle-orm/node-postgres";
 import type { PoolClient } from "pg";
 import { Pool } from "pg";
 import { config } from "../../shared/config/config.js";
-import { createChildLogger } from "../../shared/logger/logger.js";
+import { createChildLogger } from "@bete/shared/logger";
 import * as schema from "./schema.js";
 
 const logger = createChildLogger("drizzle");

services/discord-gateway/src/shared/database/migrate.ts

@@ -2,7 +2,7 @@ import "dotenv/config";
 import type { PoolClient } from "pg";
 import { drizzle as drizzlePostgres } from "drizzle-orm/node-postgres";
 import { migrate as migratePostgres } from "drizzle-orm/node-postgres/migrator";
-import { createChildLogger } from "../../shared/logger/logger.js";
+import { createChildLogger } from "@bete/shared/logger";
 import {
   closeDatabase,
   initializeDatabase,

services/discord-gateway/src/shared/database/migrateCli.ts

@@ -1,4 +1,4 @@
-import { createChildLogger } from "../../shared/logger/logger.js";
+import { createChildLogger } from "@bete/shared/logger";
 import { runMigrations } from "./migrate.js";
 
 const logger = createChildLogger("migrate-cli");

services/discord-gateway/src/shared/database/voiceRecordingRepo.ts

@@ -1,5 +1,5 @@
 import { desc, eq } from "drizzle-orm";
-import { createChildLogger } from "../../shared/logger/logger.js";
+import { createChildLogger } from "@bete/shared/logger";
 import { getDatabase } from "./drizzle.js";
 import {
   type VoiceRecording,