refactor: 搬入 errorUtils 并迁移消费者导入到 model-provider

- 搬入 formatAPIError、extractConnectionErrorDetails 等 errorUtils
- 迁移 10 个消费者文件直接从 @anthropic-ai/model-provider 导入
- 更新 emptyUsage、sdkUtilityTypes、systemPromptType 为 re-export proxy

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

src/cli/handlers/auth.ts

@@ -8,7 +8,7 @@ import {
   type AnalyticsMetadata_I_VERIFIED_THIS_IS_NOT_CODE_OR_FILEPATHS,
   logEvent,
 } from '../../services/analytics/index.js'
-import { getSSLErrorHint } from '../../services/api/errorUtils.js'
+import { getSSLErrorHint } from '@anthropic-ai/model-provider'
 import { fetchAndStoreClaudeCodeFirstTokenDate } from '../../services/api/firstTokenDate.js'
 import {
   createAndStoreApiKey,

src/cli/print.ts

@@ -65,7 +65,7 @@ import {
   registerProcessOutputErrorHandlers,
 } from 'src/utils/process.js'
 import type { Stream } from 'src/utils/stream.js'
-import { EMPTY_USAGE } from 'src/services/api/logging.js'
+import { EMPTY_USAGE } from '@anthropic-ai/model-provider'
 import {
   loadConversationForResume,
   type TurnInterruptionState,