Answer

In Jain tradition, the 24th future Tirthankar of the next time cycle is known as Bhadrakṛt or Bhadrankara in some lists.

However, regarding whose soul will become that future Tirthankar, I should answer carefully:

Sorry, I can only provide information that is clearly established within Jain tradition.

Explanation

Jain tradition does give lists of future Tirthankars, but details can vary by sect, text, and tradition. Unless a specific accepted Jain source clearly identifies the previous or present identity of that soul, it would not be proper to guess or present an uncertain name as fact.

Takeaway

The important Jain understanding is that a Tirthankar is a soul that has earned Tirthankar-nāma-karma through supreme purity, compassion, right faith, and spiritual effort.