I don't believe a moped is considered a motor vehicle under Texas transportation code, but I did find some relevant information prohibiting the operation of a motor vehicle across the Fox pedestrian bridge under section 15.4 of our city code of ordinances: https://library.municode.com/tx/lewisville/codes/code_of_ordinances?nodeId=PTIICOOR_CH15TRVE_ARTIINGE_S15-4SAEDWAFOAV
I don't believe so. Best to call them and find out
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