The most appropriate method of restoration and preservation for the broken pottery vessel is B: use special glue to repair the shape of the pot and store it in a glass case.
This option emphasizes proper restoration techniques while ensuring the vessel is preserved and protected from further damage. Using special glue designed for ceramics allows for a more invisible and stable repair. Storing the restored item in a glass case helps to keep it safe from dust, handling, and environmental factors.
Options A, C, and D would not be suitable for preserving or restoring a valuable artifact, as they could cause further damage or compromise the integrity of the piece.