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```typescript
// AI Dev Tool: LaTeX Editor API Integration Wrapper
// Description: A TypeScript API wrapper for TeXbrain, a LaTeX editor that runs pdfTeX in the browser via WASM
// Author: [Your Name]

import axios, { AxiosError } from 'axios';
import { z } from 'zod';

// Define the API endpoint URL
const TEXBRAIN_API_URL = 'https://texbrain.example.com/api';

// Define the LaTeX document schema
const LaTeXDocumentSchema = z.object({
  title: z.string(),
  content: z.string(),
});

// Define the API response schema
const APIResponseSchema = z.object({
  id: z.string(),
  pdf: z.string(),
});

// Create an instance of the axios client
const client = axios.create({
  baseURL: TEXBRAIN_API_URL,
  headers: {
    'Content-Type': 'application/json',
  },
});

// Define the API wrapper class
class TeXbrainAPI {
  /**
   * Compile a LaTeX document
   * @param document - The LaTeX document to compile
   * @returns The compiled PDF document
   */
  async compileDocument(document: z.infer<typeof LaTeXDocumentSchema>): Promise<z.infer<typeof APIResponseSchema>> {

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