ByteDance holds overwhelming market-implied odds as the third-largest private company at end-October 2026 because SpaceX’s June 2026 IPO removed the prior top-ranked private firm, leaving Anthropic and OpenAI—with valuations above $850 billion each after large 2026 AI funding rounds—as the clear leaders. ByteDance’s established $330–550 billion secondary and tender pricing, driven by TikTok revenue and global user scale, comfortably exceeds peers such as Databricks and Stripe. Realistic challenges include an outsized new round or secondary print for a fast-rising AI lab like xAI or Perplexity, or adverse regulatory developments that materially compress ByteDance’s valuation before month-end.