Based on your previous posts (this post and this post), you display the menu ellipsis (...) for the last column in the view and want to hide the menu ellipsis for the Name (linked to document with edit menu) column.
In this scenario, the menu ellipsis for the Name (linked to document with edit menu) column is the first one. You can use the JavaScript to hide the first menu ellipsis (...) in the view.
Demo:
Use the scripts below on the page:
<script type="text/javascript">
_spBodyOnLoadFunctionNames.push("ready");
function ready(){
var links = document.getElementsByClassName("ms-list-itemLink");
for (var i=0; i<links.length; i++){
// there are two link cells
// get first link for each row
if (i%2 == 0){
links[i].style.visibility = "hidden";
}
}
}
</script>
Result: