feat: clean codex multi-auth runtime + tui + docs overhaul - #2

Docstrings generation was requested by @ndycode.

* #2 (comment)

The following files were modified:

* `lib/auth/browser.ts`
* `lib/auth/server.ts`
* `lib/auto-update-checker.ts`
* `lib/capability-policy.ts`
* `lib/cli.ts`
* `lib/codex-cli/state.ts`
* `lib/codex-cli/sync.ts`
* `lib/codex-cli/writer.ts`
* `lib/config.ts`
* `lib/dashboard-settings.ts`
* `lib/entitlement-cache.ts`
* `lib/forecast.ts`
* `lib/live-account-sync.ts`
* `lib/preemptive-quota-scheduler.ts`
* `lib/prompts/opencode-codex.ts`
* `lib/quota-cache.ts`
* `lib/quota-probe.ts`
* `lib/recovery/constants.ts`
* `lib/refresh-lease.ts`
* `lib/request/failure-policy.ts`
* `lib/request/fetch-helpers.ts`
* `lib/request/stream-failover.ts`
* `lib/rotation.ts`
* `lib/runtime-paths.ts`
* `lib/session-affinity.ts`
* `lib/storage.ts`
* `lib/storage/paths.ts`
* `lib/ui/ansi.ts`
* `lib/ui/auth-menu.ts`
* `lib/ui/confirm.ts`
* `lib/ui/copy.ts`
* `lib/ui/format.ts`
* `lib/ui/runtime.ts`
* `lib/ui/select.ts`
* `lib/ui/theme.ts`
* `lib/unified-settings.ts`
* `scripts/codex.js`