Yes, you are reading the NEC correctly. Dining room receptacles are required to be on a dedicated small appliance branch circuit per 210.52(B) and must be AFCI protected per 210.12(B).

One possible solution is to use a combination AFCI/GFCI breaker. This type of breaker provides both AFCI and GFCI protection in a single device, eliminating the need for separate breakers and receptacles.

Another option is to use a separate AFCI breaker for the dining room receptacles and a GFCI receptacle. This is a less expensive option, but it requires more space in the electrical panel.

Regardless of the method used, it is important to make sure that the AFCI device is installed correctly. AFCI devices are sensitive to wiring errors, and even a minor mistake can cause the device to trip.

Here are some additional tips for installing AFCI devices: Use AFCI devices that are listed by a recognized testing laboratory. Follow the manufacturer's instructions carefully when installing AFCI devices. Make sure that all wiring connections are tight and secure. Test AFCI devices regularly to ensure that they are functioning properly. Flag for review