144 hrs visa waiver for 3 country trip MUC-to-PVG ,PVG-to-TPE, TPE-to-PVG and PVG-to-MUC

I'm planning a trip Munich, Germany (MUC) to Shanghai (PVG)
for 1.5 d(ays) visit, then ....
travel from SH to Taiwan, Taipeh (TPE) for 5 d and come back from TPE
to SH (PVG) and stay there for additional 2.5 d
and then go back from SH (PVG) to Munich, Germany (MUC)
with all non-stop flights

Will the 144 hrs China visa waiver Programm support this trip for China?