The term 'branch (peace offering)' can be solved by the crossword solution 'OLIVE'. The OLIVE branch is a symbol of peace and has been used in many cultures for centuries. It is often seen as a gesture of goodwill and reconciliation, and is often used to signify the end of a conflict. In the Bible, the dove returns to Noah with an OLIVE branch after the great flood, signifying the end of the destruction and the beginning of a new era of peace.