Round trip Montreal to Beijing

So I actually have a round trip from Montreal, Canada to Beijing, China, but I have a third country I am seeing. So my trip will be the following:
Montreal to Beijing (staying in Beijing for 3 days)
Beijing to Taipei (staying in Taipei for 3 days)
Taipei to Tokyo (staying in Tokyo for 3 days)
Tokyo to Beijing (probably stay 1 more night in Beijing) to catch flight home to Montreal.

So A will be Montreal, B will be Beijing (apply for 144 hour twov, or maybe even 72 hour twov) and C will be Taipei, the only thing is that I am coming back to Beijing after traveling Japan and Taiwan and staying in Beijing for another night, will it be problematic to apply for another 72 hour twov on top of the 144/72 hour twov?