I've purchased the GM extended warranty on every new vehicle we have purchased since 1992, and I am glad we did. No major problems but just some irritating stuff and all problems were ultimately found, repaired and paid for by the factory backed extended warranty. In the end, I have either broke even or come out ahead.
When the original GMPP warranty expired on our 2004 TrailBlazer, I compared coverage between a AAA Platinum Level extended warranty with the best GMPP extended warranty I could get. Well, the AAA coverage was identical and several hundred dollars less. When I had a problem with the AC, the AAA warranty came through and according to the Service Manager at the Chevrolet dealership I dealt with, they, the AAA warranty folk, were very easy to work with and did not question any of the parts or labor charges, and he was pleasantly surprised.
Now, since we had to purchase a 2022 Silverado in order to replace our stolen 1999 Silverado, I went ahead and purchased a AAA Platinum warranty for 7 years and 120,000 miles for about 1/3rd less the the best price I could find on a GM factory backed warranty and and 1/2 less than the dealership's favored extended warranty (even at dealership cost which the finance guy offered, the AAA warranty was over $1000 less). Again, coverage is the same between the 3 products.
So, if one belongs to AAA, check out the vehicle extended warranties/vehicle service contracts. You just might save some significant cash.