Forgetful Functor $MonCat\rightarrow Cat$ preserves filtered colimits?

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Let $MonCat$ and $Cat$ denote the 2-categories of monoidal categories with strict monoidal functors and small categories, respectively.

There is a forgetful functor $Forget:MonCat\rightarrow Cat$ Does this preserve (filtered) colimits? I am thinking of 2-colimits in MonCat.