Hi Yancho,
To address your question at a high-level, Blue Prism is only aware of its own Scheduler. If a third-party Scheduler is used then Blue Prism is unaware of this and cannot interact with it.
The status of Blue Prism Schedules is recorded in the database, and when a Schedule completes it will be recorded in the Session log. This information can be used to help configure your third-party Scheduler timings to coincide with the Blue Prism Scheduler, even though there is no interaction between them.
The following article may also be useful:
How can I export the information contained within Scheduler Reports and Timetables out of Blue Prism?