Association labels in Import API

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@HunorSZ @MDev28 do you know to do an import config when you have mutlple objects, and set the association labels for each? I have this setup:

...
{
 "columnName": "assoc_label_contact_to_cp_fp",
 "columnType": "FLEXIBLE_ASSOCIATION_LABEL",
 "columnObjectTypeId": "0-1",
 "toColumnObjectTypeId": "2-11111111"
 },
 {
 "columnName": "assoc_label_cp_user_to_contact",
 "columnType": "FLEXIBLE_ASSOCIATION_LABEL",
 "columnObjectTypeId": "2-33333333",
 "toColumnObjectTypeId": "0-1"
 },
 {
 "columnName": "assoc_label_cp_user_to_cp_fp",
 "columnType": "FLEXIBLE_ASSOCIATION_LABEL",
 "columnObjectTypeId": "2-33333333",
 "toColumnObjectTypeId": "2-11111111"
 },
 {
 "columnName": "assoc_label_cp_user_to_deal",
 "columnType": "FLEXIBLE_ASSOCIATION_LABEL",
 "columnObjectTypeId": "2-33333333",
 "toColumnObjectTypeId": "0-3"
 },
 {
 "columnName": "assoc_label_deal_to_cp_fp",
 "columnType": "FLEXIBLE_ASSOCIATION_LABEL",
 "columnObjectTypeId": "0-3",
 "toColumnObjectTypeId": "2-11111111"
 },
 {
 "columnName": "assoc_label_eo_deal_to_contact",
 "columnType": "FLEXIBLE_ASSOCIATION_LABEL",
 "columnObjectTypeId": "0-3",
 "toColumnObjectTypeId": "0-1"
 }
...

I cant not get the request to process. Yes, they are in the spreadsheet. Without these

"columnType": "FLEXIBLE_ASSOCIATION_LABEL",

columns, it processes fine (assuming i remove those columns from the spreadsheet file being imported, of course). So, what am I doing wrong here? Do I need to reference a type ID instead of just the label for the custom objects? Should I always use the type id, or is the word label enough?