What does the cryptic crossword clue "Provocative statements from a nasty person, one in pack (8)" mean?

The definition is "Provocative statements". The wordplay uses a charade (building blocks). A (synonym="A") + GIT (synonym="a nasty person") + PROP (synonym="one of the playing positions in a pack, the forwards, collectively, in a rugby team") = AGITPROP The answer is AGITPROP.

Provocative statements from a nasty person, one in pack (8)

Guardian Cryptic #29170 | 5 Down | 2023-09-08 flower

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