I work on Magento 2.4 and I'd like to enable programmatically for selected products "Manage Stock" option and set status Out Of stock. Like here: 
But I did not found how it should be done in Magento higher than 2.4 I found that \Magento\CatalogInventory\Api\StockRegistryInterface is deprecated. Product model setStocData() also is deprecated.
How it should be done without use of any deprecated classes?
yes i too checked and the classes are deprecated perhaps you can try this - from your question i get to know that you want to set the "Manage Stock" and "Stock Status" for a product.
Please follow the below code where i hit the rest API endpoint and the product's stock settings gets changes.You can also follow this in your PHP file or JS file by hitting this API.
endpoint = http://local.magento243.com/rest/V1/products/24-MB01
HTTP Method = PUT
Body request params =
{ "product": { "extension_attributes": { "stock_item": { "is_in_stock": false, "manage_stock": false } } } }
Authorisation is also needed as Bearer token.
