Yeah a time skip is possible. But I think Doha going stiff when they found a tape is a genuine reaction. I think he genuinely didn't know there was a tape there = he didn't find Bada's tape yet. We all know how calculative Doha is. He wouldn't leave that tape there so he could keep watch on it + he wouldn't let Bada near that area if he decided to leave it there.
Ohhhh yeah, I think u may be the right one... I'm just trying to figure out what the author is cooking my imagination just run wild because I think its very possible for Doha to never complete the game if he can't bring Bada with him (if both of them think that Bada is only an NPC, which I think probably isn't true)
Which can also be the reason why it feels like he is kinda delaying(?) on finding Bada's tape...
What if... before the scene where Doha is re-introducing everything back to Bada, there's actually a time skip happened that we didn't know? I feel like it was very posssibel to happend in this webtoon....
Like what if Doha actually already found the tape before and they're actually almost finished the entire game together and Bada wanted Doha to leave but Doha didn't want to leave without bada because he is an npc? Then Doha just take out the tape so that he can reset Bada's memories again so he can spend a lot more time with Bada.
.....just speculating. If its true that actually is kinda sad...