Fine-tuning
This is correct. Fine-tuning is the stage that adapts a pretrained foundation model to a specific task or domain by additionally training it with labeled data. It can adjust behavior with a relatively small amount of data.
The difference from pre-training is that pre-training is the process of acquiring general knowledge from scratch with a large amount of unlabeled data (requiring vast data and compute), whereas fine-tuning adds a small amount of labeled data to a model that already has general capabilities to steer it toward a specific use.