If I look at the embedded map I don't see any url params that zoom to a location:
https://www.arcgis.com/sharing/tools/bridge?url=https://jsapi.maps.arcgis.com/apps/Embed/index.html?webmap=36398cdf4c6242638568050126a4ada0&extent=-96.7175,41.0222,-95.3613,41.6342&home=true&zoom=true&previewImage=false&scale=true&disable_scroll=true&theme=dark
The above parameters specify the web map, starting extent, add the zoom in and out buttons, disable a preview image, add a scalebar, disable zoom scrolling and set the theme to dark. One thing I did notice is that the app url is jsapi.maps.arcgis.com. Try changing it to www.arcgis.com so its not using an organization url. So your new url would look like this:
https://www.arcgis.com/apps/Embed/index.html?webmap=36398cdf4c6242638568050126a4ada0&extent=-96.7175,41.0222,-95.3613,41.6342&home=true&zoom=true&previewImage=false&scale=true&disable_scroll=true&theme=dark