providers login -p claude-code fails with "Unknown provider"

[Pzalms]

Summary

ax-code providers login -p claude-code (and -p gemini-cli, -p codex-cli) errors out with Unknown provider "claude-code". The CLI-bridge providers defined in packages/ax-code/src/provider/loaders.ts (CUSTOM_LOADERS) are not surfaced in the providers login command.

Workaround today: connect via the TUI /connect dialog, or hit PUT /auth/claude-code on ax-code serve directly with {type:"api",key:"cli"}.

Expected

providers login -p claude-code should accept the CLI provider id, perform the binary + auth probe (checkClaudeAuth), and store the marker.

Repro

ax-code providers login -p claude-code
# ■  Unknown provider "claude-code"

Environment

• ax-code 4.3.0

[automatosx]

Fixed on current main. CLI bridge providers are now included in the default interactive login provider set, and providers login can use the CLI provider flow instead of rejecting the provider id. Added coverage in test/cli/providers.test.ts.