Its an ancient drama (like their clothes...) they had doubt if the other did return back from the future too while playing a game of chess... they were probably the male and female lead i saw a quick clip on tiktok but lost it

Help please

PS: I dont remember if its cdrama or kdrama tho..

I guess it's 

The Princess Royal (2024)

They play go I think at the end of ep 2, and in ep 3. They are wondering if the other also came back in time and knows what happened before