Pages and the terminal say "your AI"; a vendor's name appears only in the picker, recommended first #12126

Done looks like:

• The Model settings page (src/web/pages/model.ts, src/tui/screens/model.ts) is titled "Connect your AI"
• Each of these says "your AI", "model" or "runner" where it names a vendor today: [ ] web pages account, spend, subscriptions, crew, apps, runs, new-forge [ ] src/web/doors_words.ts, studio/crew_key.ts, studio/home.ts, standards.ts [ ] tui screens signins, subscriptions, newforge, crewkey, grants, orggrants
• Where a person picks a provider, the recommended one is listed first
• A test greps src/web and src/tui for vendor names and allows only the picker file(s)
• bun scripts/design-lint.ts is clean

Files: those named above, test/vendor-words.test.ts

Part of the owner's ask #12068 (AI agnostic). Keep this pull to the files named; earlier tries went red by spreading into src/flow, src/core/events and src/boards. A new process start must be listed in test/spawn-sites.test.ts (and test/spawn-pipes.test.ts) with its reason. The branch mason/12068-the-forge-is-ai-agnostic-you-connect-you (f580581a93e3) holds earlier work to borrow from, not to merge whole.