Updating a row in a lookup table via API Call

Hello everyone,
I would like to be able to make an api call to update a spefic record/row,setting one of its field to a value. I have looked at the docs here but the structure of the payload to send is really difficult to digest. Just how would I prepare this http PUT request to update the collect field for a record whose survey field value is "strategy"? The lookup table(named survey_manager) has two fields, survey and collect.

I also noticed that I would need an ID for a record to update, but my attempt to get to the specific record also failed. Can I do something like this on this endpoint? Currently I am getting all records back. Better docs somewhere for quering this endpoint?:

https://www.commcarehq.org/a/mydomain/api/v0.5/lookup_table_item?data_type_id=59d698fea39144f187ba878dbd30bce6&survey=strategy

@Simon_Kelly Also, I tried to send a POST request to this endpoint https://www.commcarehq.org/a/mydomain/api/v0.5/lookup_table_item, in an attempt to insert a new record in the lookup table, with the payload as below but I am getting a 301 permanently moved response. Any pointers? Here is my payload:

{
    "data_type_id": "59d698fea39154f197ba878dbd30bce6",
    "fields": {
        "survey": {
            "field_list": [
                {
                    "field_value": "baseline",
                    "properties": {}
                }
            ]
        },
        "collect": {
            "field_list": [
                {
                    "field_value": "yes",
                    "properties": {}
                }
            ]
        }
    }
}

I further tried to send a PUT request to this endpoint https://www.commcarehq.org/a/mydomain/api/v0.5/lookup_table_item/7aed6de9b360458e8fd63365d2d61f3b, but I am still getting the same 301 Moved permanently response. Here is the payload for the PUT request:

{
    "data_type_id": "59d698fea39144f197ba878dbd30bce4",
    "fields": {
        "collect": {
            "field_list": [
                {
                    "field_value": "no",
                    "properties": {}
                }
            ]
        }
    }
}

The PUT request now works. I did not pay attention to the value of the location header in the response. The url for this endpoint has been changed to include the / at the end.
So now, the PUT https://www.commcarehq.org/a/mydomain/api/v0.5/lookup_table_item/7aed6de9b360458e8fd63365d2d61f3b/ works with the below payload, but the changes do not show in the HQ UI for Lookup Tables. I can confirm, via GET, that the record was updated but not via the UI. Anything else to add? I used the below example payload for a successful PUT request:

{
    "data_type_id": "59d698fea39144f197ba878dbd30rce6",
    "fields": {
        "survey": {
            "field_list": [
                {
                    "field_value": "strategy",
                    "properties": {}
                }
            ]
        },
        "collect": {
            "field_list": [
                {
                    "field_value": "no",
                    "properties": {}
                }
            ]
        }
    }
}

The UI updates after about 10 mins, not knowing what is going on behind the scenes, this might be helpful to note. Thanks.