Thank you for your question. I look forward to working with you to provide you the information you are seeking for educational purposes only.
It is not true that you are "stuck" as this is a breach of warranty issue under the Manguson Moss Warranty Act, which states that if the manufacturer has a defective product under warranty they must repair it, replace it or refund the money at their discretion. If they cannot repair it and the replacements have the same issue, then it is likely a product manufacturing defect and they are liable to refund your money or replace it with a different comparable model.
You need to send a letter to the manufacturer informing them that this is the THIRD refrigerator of the same model and the number of repairs all for the same issue. In your letter you need to demand they refund your money or replace it with a different comparable model. Tell them that if they refuse to do so, your next step will be filing a complaint with both the KS Attorney General and also with the Consumer Product Safety Commission, which could lead to a nationwide recall for their defectively manufactured or designed product. Give them 14 business days from the date of your letter to decide and tell them if they fail to take proper action, you will file your complaints and consider suit under the product liability
laws and Manguson Moss Warranty Act for their defective product and the damages it has caused you.
If they refuse, then your first recourse is to file a complaint with the KS Attorney General Consumer Protection Unit (https://ag.ks.gov/about-the-office/contact-us/file-a-complaint) and with the Consumer Product Safety Commission (http://www.cpsc.gov/).
If they cannot resolve this matter, which they can in 99% of the cases, then you could sue the manufacturer in the KS court for breach of warranty as well as product liability for defective design or manufacture of their product and seek damages.