Hi, @Beat ,
Per my knowledge, we cannot hide the toolbar when using embed web part to display a list from another site. It is a not customizable settings with changing URL.
For displaying a list from another site, you can try to use Highlighted content web part with a custom query (Path:http://[siteurl]/[DocLibraryName]) (contentclass:STS_ListItem)
. However, it will not display most of the field values, like the screenshot below:
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