of course 轉....especially if you have a bad boss now.
u can request to extend to 3 weeks' notice, but you have to know the reason why the new company need you so urgently. maybe the existing staff is leaving in one month, so you only have two weeks to handover. then it is reasonable.
https://i.ksd-i.com/s/630x_86400_d73df9dd036307410a503045cbbfae07/static.koreastardaily.com/profile/23243/138969.jpg