I want to implement a DateRangePicker from Material UI with a calendar icon, e.g. it should look like that:

According to the Api documentation it should work with
components={{
OpenPickerIcon: CalendarTodayIcon
}}
but it doesn't. See codesandbock.
I also tried it by adding an Icon manually to the TextField which shows an Icon but doesn't open the PopupMenu when clicking on the Icon.
InputProps={{
endAdornment: (
<InputAdornment position="end">
<IconButton>
<CalendarTodayIcon />
</IconButton>
</InputAdornment>
)
}}
Anyone an idea how to implement that? I am using mui 5.1.0 and mui/lab 5.0.0-alpha.50