You cannot interpret arbitrary bash scripts in zsh, but you can run a new copy of bash specifying the source for the script source, and then transfer control to the zsh interpreter:
bash -c 'set -a; source shell mingw64 && exec zsh -i'
Thus, the zsh interpreter inherits the exported environment variables and working directory changes created by looking up the bash script; it will not inherit local (non-export) variables, aliases or shell functions.
set -a instructs bash to export all variables by default, thereby ensuring that the variables set by your script source are placed in the environment, if possible, and not supported by shell-local. This will not work for type values ββthat cannot be exported (e.g. arrays), but is a reasonable intermediate measure.
By the way, there is an upstream ticket requiring this code to be compatible with /bin/sh . If this happens, zsh will be able to interpret it in POSIX compatibility mode, which you can temporarily enter as follows:
emulate sh -c 'source shell mingw64'
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