api: drop the /v1 prefix from every route

[hbrooks]

The backend removed the /v1 prefix from the public API routes (ellipsis-dev/ellipsis#6166): everything now answers at /sessions, /reviews, /models, and so on. This PR updates every path the CLI builds to match.

What changed

• Request paths: all REST paths in src/lib/api.ts and the WebSocket stream URL in src/lib/stream.ts.
• Help text: the apiRoutes(...) route lines in every command file, which show in --help.
• Tests: expected URLs in the api/stream/discovery/output/search suites.
• Docs and skills: README, docs/RUN_STREAMING_SPEC.md, both skills, and the smoke scripts. Prose like "the /v1 host" became "the API host" rather than leaving a dangling slash.

The one v1 left behind is a comment naming the mono repo file ellipsis/src/public_api/routers/v1/v1_router.py, which is a real path, not a route. Config-file version: v1 YAML and the v1 -> v2 config migration are unrelated and untouched.

Verification

tsc --noEmit is clean and all 435 tests pass (24 files).

Follow-ups (not in this PR)

• Bump @ellipsis-dev/sdk to ^0.6.0 once the regenerated SDK is published from the mono repo (the CLI only imports types and stream machinery from it, so it works on 0.5.0, but 0.5.0's EllipsisClient and paths type still spell /v1).
• Released binaries hardcode /v1: the backend deploy needs to keep answering the old paths (or we accept breaking pre-release binaries) until users upgrade.

Important

Removes the /v1 prefix from all API routes in the CLI to match the backend's updated public API.

• REST API calls in src/lib/api.ts and WebSocket stream URL in src/lib/stream.ts now use routes without the prefix (e.g., POST /sessions instead of POST /v1/sessions).
• Route paths shown in command help text (apiRoutes(...) calls across all command files) updated accordingly.
• Expected URLs in api/stream/discovery/output/search test suites updated.
• Documentation and help text changed "the /v1 API" to "the public API" or "the API" throughout README, spec docs, and smoke scripts (but left intact: the monorepo file path ellipsis/src/public_api/routers/v1/v1_router.py, config migration comments about v1→v2).
• TypeScript compiles cleanly and all 435 tests pass.

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[ellipsis-dev]

Important

Looks good to me! 👍

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