Google launched tools to import your ChatGPT memories and chat histories. Apple is turning Siri into a marketplace where every AI assistant plugs in — for a 30% cut. OpenAI is wiring Codex into every work tool you touch. Shopify made every AI conversation a storefront. The model quality race is giving way to something more consequential: a fight over who accumulates the deepest context about how you work, shop, and think — because whoever owns that context makes switching nearly impossible.