Will the vaccine be effective if I refrigerated it in an insulating bag?

Could storing Gardasil 9 in a heat-insulating bag in a refrigerator affect its effectiveness? Unfortunately, when I got home, I didn't pull the vaccine out of the heat-insulating bag and put the vaccine in the fridge bag. In the refrigerator stood 2 weeks, while the transport of the vaccine to the house in the bag lasted about half an hour. Logically, the bag could not hold a higher temperature than the ambient temperature for 2 weeks, i.e. 2 degrees (2 degrees in the refrigerator), so the vaccine should be at 2 °C at that time. Can the effectiveness of the vaccine be reduced by not pulling it out of the bag? Best regards