Secondary or Nested initiative?

I want to utilize 10-minute Dungeon Turns for a D&D 5e Mega Dungeon, and I am curious if anyone has made or found a way to either... 1 ) Have a separate / secondary initiative tracker (most likely in the chat). 2 ) Nest a Combat Initiative loop inside of a Dungeon Turn loop using the Turn Tracker. I'm basically looking for a way to track Dungeon Turns and Combat Turns separately.

I found  Filip Č.'s   Time Tracker API . It pretty much does what I want for dungeon turns.