Choose the most appropriate method of restoration and preservation for the broken pottery vessel.

Use duct tape to patch the pot, then display in a case.

Use special glue to repair the shape of the pot and store in a glass case.

Let the pieces sit outside to bleach in the sun, then repair with special glue.

Let museum visitors piece together the shards for hands-on experience .

The most appropriate method for restoration and preservation of the broken pottery vessel would be to use special glue to repair the shape of the pot and store it in a glass case. This method will ensure that the pot is properly fixed, maintaining its original shape and structure. Storing it in a glass case will protect it from further damage and allow it to be displayed in a controlled environment.