Currently, the Pipelines API is an effective set of endpoints to understand Pipeline stages.
/crm/v3/pipelines/{objectType}/{pipelineId}/stages
is particularly useful to understand the full Pipeline stage setup. However, no equivalent exists for Lifecycle Stage. If the stages are not numbered or otherwise have an explicit way to mark order, there is no way for a developer to understand the intended Lifecycle path. Would it be possible to expose Lifecycle Stages in a way similar to how Pipelines is exposed today?