Fix UserManagement.get_authorization_url generated url

[csrbarber]

Description

• Update UserManagement.get_authorization_url to generate authorization urls with /user_management/authorize

AuthKit authorization urls should go through /user_management/authorize. Standalone SSO authorization urls should go through /sso/authorize.

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 Overview

Summary

Changed UserManagement.get_authorization_url to generate authorization URLs with /user_management/authorize instead of /sso/authorize.

• AuthKit authorization URLs now correctly use /user_management/authorize endpoint
• Standalone SSO authorization URLs (in WorkOS.SSO module) continue to use /sso/authorize
• This aligns with WorkOS API expectations where User Management and SSO have separate authorization endpoints
• All existing tests pass with the updated path

Confidence Score: 5/5

• This PR is safe to merge with minimal risk
• The change is a simple, well-scoped URL path correction that aligns with API specifications. The modification changes only the authorization endpoint path from /sso/authorize to /user_management/authorize, which is the correct endpoint for AuthKit. All tests continue to pass, and the change maintains backward compatibility since it only affects the generated URL. No security issues, logic errors, or breaking changes introduced.
• No files require special attention

Important Files Changed

File Analysis

Filename	Score	Overview
lib/workos/user_management.ex	5/5	Updated authorization URL path from /sso/authorize to /user_management/authorize to align with AuthKit expectations

Sequence Diagram

sequenceDiagram
    participant Client as Client Application
    participant SDK as WorkOS Elixir SDK
    participant AuthKit as AuthKit API
    
    Client->>SDK: get_authorization_url(params)
    Note over SDK: Build query params<br/>(client_id, redirect_uri, etc.)
    SDK->>SDK: URI.encode_query()
    SDK-->>Client: {:ok, "base_url/user_management/authorize?query"}
    Client->>AuthKit: Redirect user to authorization URL
    Note over AuthKit: /user_management/authorize<br/>(previously /sso/authorize)
    AuthKit-->>Client: Redirect to callback with code
    Client->>SDK: authenticate_with_code(code)
    SDK->>AuthKit: POST /user_management/authenticate
    AuthKit-->>SDK: Authentication response
    SDK-->>Client: {:ok, %Authentication{}}

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