feat(auth): always prompt for authorization method (admin or JWT) on every request

[carloseberhardt]

• Always prompt for authorization method (admin key or JWT) on every request, including codelens and persisted operation flows.\n- Persist only the JWT value for convenience.\n- No longer persist the last selection; user can switch methods on every run.\n- Fixes Enhancement: configure run-request command to support JWT authorization #118.\n\nUX:\n- Consistent prompt for all entry points.\n- JWT is pre-filled if previously used.\n- No need for a separate command to change method.\n\nTechnical:\n- Updates all entry points to require context and prompt for auth.\n- Refactors prompt logic for clarity and consistency.\n- Updates CLI header handling for correct quoting.\n\nAll tests and linting pass. Ready for review.