create a new ingredient and attach it to department

# Description/Steps to reproduce
+ move ingredient between departments

# Expected result

# Additional information

The issue gives no files, tests, or entry points to inspect. Start by locating the API handling ingredients and departments, then clarify whether the expected behavior is creating an ingredient or moving an existing one; the work is done when the intended department attachment behavior is defined and covered by a test.

Written by the indexing model from the issue text.