How to access stored procedures through the VK API?

Question

PHP

Good day. I wrote an application for sorting subscribers. For the same purpose, I created a small stored procedure on the side of VKontakte:

// VKScript
return API.users.search({
    "sex":Args.sex,
    "age_from":Args.minAge,
    "age_to":Args.maxAge,
    "group_id":Args.groupId,
    "count":Args.count,
    "offset": Args.offset
})[email protected];

And I refer to it in the standard way:

var_dump(json_decode(file_get_contents("https://api.vk.com/method/execute.SearchUsersBy?sex={$sex}&minAge={$minAge}&maxAge={$maxAge}&count={$count}&groupId={$groupId}&v=5.130&access_token=МОЙ_СЕРВИСНЫЙ_КЛЮЧ_ДОСТУПА")));

Link

https://api.vk.com/method/execute.SearchUsersBy?sex=2&minAge=15&maxAge=16&count=&groupId=&v=5.130&access_token=МОЙ_СЕРВИСНЫЙ_КЛЮЧ_ДОСТУПА

error JSON returned:

{"error":{"error_code":28,"error_msg":"Application authorization failed: method is unavailable with service token.","request_params":[{"key":"sex","value":"2"},{"key":"minAge","value":"15"},{"key":"maxAge","value":"16"},{"key":"count","value":""},{"key":"groupId","value":""},{"key":"v","value":"5.130"},{"key":"method","value":"execute.SearchUsersBy"},{"key":"oauth","value":"1"}]}}

That is, I am incorrectly authorized. I went to the documentation about excute methods and it turned out that they cannot be accessed with a service access key. But it is also impossible to knock with the access key of the same community: the method I created is available only for my application, therefore, you need to use the service key. However, I tried. As expected, without success.
If there are VK API experts here, could you please tell me what the error is?