fix(types): resolve TypeScript errors across multiple packages

- bot-services: Add registerAsync to AI, Calendar, Clock, Todo modules
- bot-services: Add convenience methods to ClockService for bot handlers
- bot-services: Make CreateEventInput.endTime optional with sensible defaults
- bot-services: Fix empty interface ESLint errors (use type aliases)
- questions-backend: Add missing schema columns (isDefault, sortOrder, deletedAt)
- questions-backend: Fix or() return type handling in question service
- questions-web: Add guard for undefined question ID in route params
- skilltree-web: Fix DBSchema type by not extending idb interface directly
- calendar-web: Fix Check icon prop (use weight instead of strokeWidth)
- matrix-mana-bot: Update clock handler to use new service methods

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

packages/bot-services/src/ai/ai.module.ts

@@ -1,8 +1,13 @@
-import { Module, DynamicModule } from '@nestjs/common';
+import { Module, DynamicModule, Provider, Type, ModuleMetadata } from '@nestjs/common';
 import { AiService } from './ai.service';
 import { AiServiceConfig } from './types';
 
-export interface AiModuleOptions extends Partial<AiServiceConfig> {}
+export type AiModuleOptions = Partial<AiServiceConfig>;
+
+export interface AiModuleAsyncOptions extends Pick<ModuleMetadata, 'imports'> {
+	useFactory: (...args: unknown[]) => Promise<AiModuleOptions> | AiModuleOptions;
+	inject?: (Type<unknown> | string | symbol)[];
+}
 
 @Module({})
 export class AiModule {
@@ -42,4 +47,29 @@ export class AiModule {
 			exports: [AiService],
 		};
 	}
+
+	/**
+	 * Register asynchronously with factory function
+	 */
+	static registerAsync(options: AiModuleAsyncOptions): DynamicModule {
+		const configProvider: Provider = {
+			provide: 'AI_SERVICE_CONFIG',
+			useFactory: options.useFactory,
+			inject: options.inject || [],
+		};
+
+		return {
+			module: AiModule,
+			imports: options.imports || [],
+			providers: [
+				configProvider,
+				{
+					provide: AiService,
+					useFactory: (config: Partial<AiServiceConfig>) => new AiService(config),
+					inject: ['AI_SERVICE_CONFIG'],
+				},
+			],
+			exports: [AiService],
+		};
+	}
 }