Does this qualify for either 72 or 144 hour transit visa at PEK?

Travelling Canada-TPE (2 hour layover) -Japan (3-4 day stop) -TPE (2 day stop) -PEK(**transit/stop)-US-Canada.

Is the above eligible for either free transit? If it makes any difference, the tickets are booked separately as:
(1) Canada-TPE-Japan
(2) Japan-TPE
(3) TPE-PEK-USA-Canada