Rest API to check if folder exist inside a folder in document library

I have a custom page to upload file to document library. For example, if there are 10 person, so inside root folder, I have 10 folder for each person, Named as per the ID of the person. So while uploading, there is a textbox where I enter the ID of that person.

Now when I click on upload button, I need to check if the folder for that person exist in root folder. If it exist, I need to upload it there.

there are many root folders, so I need to check it in all those folders for the folder of that person exist.

function getFolderToUpload()
{

$.ajax({
async: false,
        url: _spPageContextInfo.webAbsoluteUrl + "/_api/web/GetFolderByServerRelativeUrl('EmployeeDocumentList')/folders?$select=Name",
        method: "GET",
        headers: { "Accept": "application/json; odata=verbose" },
        success: function (data) {
         $(data.d.results).each(function(){          {
             if(this.Name!="Forms")
             {
             CheckFolderExist();             
             }
             }
    });
},
        error: function (data) {
            alert("error checking folder exist");
        }
    });
}

By the code above, i get all the root folders, Now I need to check if a folder named test exist in any of those folders. So I wanted to ask if there is any lambda expression kind of code that I can write to search this test folder in all those folders.

/_api/web/GetFolderByServerRelativeUrl('<FolderName>/<NestedFolderName>')/Exists