I don't know you guys get solution or not but here you go.
$sourceItem = [];
// Magento\InventoryApi\Api\SourceRepositoryInterface;
$source = $this->sourceRepository->get('default');
$sourceItem['name'] = $source->getName(); // source name
$sourceItem['source_status'] = true;
$sourceItem['notify_stock_qty'] = 1;
$sourceItem['notify_stock_qty_use_default'] = 1;
$sourceItem['initialize'] = 1;
$sourceItem['record_id'] = 'default' // your source code
$sourceItem['quantity'] = 12; // your qty
//Magento\InventoryCatalogAdminUi\Observer\SourceItemsProcessor;
$this->sourceItemsProcessor->process('sku', $sourceItem);
Here is the solution https://magento.stackexchange.com/a/262873/49826