feat: Add GatherManager + AutoDoors plugin config modules

- GatherManager: 2-tab editor (Resource Rates with 1x-10x presets,
  Advanced with Pickup/Quarry/Excavator/Survey modifiers), 9 resource
  types with slider+number inputs, CRUD + deploy + import via NATS
- AutoDoors: Global settings (delay sliders, 6 toggles), 7 door type
  toggles, permission group overrides table, CRUD + deploy + import
- DB: migrations 015 (gather_configs) + 018 (autodoors_configs)
- Backend: GatherModule + AutoDoorsModule registered in app.module.ts
- Frontend: Pinia stores, Vue views, router routes, sidebar nav items
- Icons: Pickaxe (gather), DoorOpen (autodoors)
- All type checks pass: tsc + vue-tsc zero errors

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

backend-nest/src/modules/gather/gather.module.ts

@@ -0,0 +1,14 @@
+import { Module } from '@nestjs/common';
+import { TypeOrmModule } from '@nestjs/typeorm';
+import { GatherController } from './gather.controller';
+import { GatherService } from './gather.service';
+import { GatherConfig } from '../../entities/gather-config.entity';
+import { NatsService } from '../../services/nats.service';
+
+@Module({
+  imports: [TypeOrmModule.forFeature([GatherConfig])],
+  controllers: [GatherController],
+  providers: [GatherService, NatsService],
+  exports: [GatherService],
+})
+export class GatherModule {}