@Ivan There is a simple tutorial which should take less than hour to complete and check if the capability of power apps and form recognizer could work for you. Here is the link from Microsoft Learn.
In general though you could train a form recognizer model from the labeling tool use the predict API and download the JSON results. The tool provides an option to download the results as csv too but I think this would still need some pre-processing if you are expecting the sheet to look exactly as the table in the form. This is because the csv file will contain many other details like bounding values, keys, etc.