feat: add cross app auth method

[stacurry]

Description

Add cross_app_auth as a session auth_method

Documentation

Does this require changes to the WorkOS Docs? E.g. the API Reference or code snippets need updates.

[ ] Yes

If yes, link a related docs PR and add a docs maintainer as a reviewer. Their approval is required.

[greptile-apps]

Greptile Summary

This PR adds "cross_app_auth" as a new supported value in the AuthMethodType Literal type, which is used by the Session model's auth_method field. The change is minimal, focused, and correctly placed in alphabetical order within the existing list of auth method literals.

• The single-line addition to AuthMethodType correctly extends the type so that Session objects returned from the API with auth_method: "cross_app_auth" are now valid and will not cause Pydantic validation errors.
• No other files in the repository (e.g., authentication_payload.py) appear to require a corresponding change, as they use str directly for auth method fields.
• No test changes are included, though the existing test fixtures don't directly test AuthMethodType literal exhaustiveness, so the absence of test changes is acceptable here.

Confidence Score: 5/5

• This PR is safe to merge — it is a one-line, additive type change with no risk of regression.
• The change is a single Literal value addition to a type alias used only as an annotation. It is backwards-compatible, correctly ordered, and does not affect any runtime logic.
• No files require special attention.

Important Files Changed

Filename	Overview
src/workos/types/user_management/session.py	Adds "cross_app_auth" as a new valid value in the AuthMethodType Literal type; change is minimal, correct, and alphabetically ordered within the existing list.

Flowchart

%%{init: {'theme': 'neutral'}}%%
flowchart TD
    A[API Response with auth_method] --> B{Value in AuthMethodType?}
    B -- cross_app_auth ✅ NEW --> C[Session model validates successfully]
    B -- external_auth --> C
    B -- impersonation --> C
    B -- magic_code --> C
    B -- migrated_session --> C
    B -- oauth --> C
    B -- passkey --> C
    B -- password --> C
    B -- sso --> C
    B -- unknown --> C
    B -- other value --> D[Pydantic validation error]
    C --> E[AuthenticateWithSessionCookieSuccessResponse]

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