Do we qualify for the 144 hour visa free transit?

Hi, we are Bulgarian citizens flying with a ticket for onward travel from Amsterdam to Beijing and travel back from Tokyo to Amsterdam. We have a separate ticket for Beijing-Tokyo and stay in Tokyo for 4 nights before flying back to Amsterdam. So, it is not 1 whole ticket, we have 2 separate tickets. Do we qualify for the 144 hour visa free transit?
Thank you.