With the Beefy vault, you are rewarded more LP tokens. The vault effectively sells the Curve rewards and uses it to purchase more LP tokens.
The mechanics are different from Animal Farm in multiple ways. 1) No significant deposit/withdrawal fees. 2) Immediate access to all funds (no reward token with vesting schedule) 3) WIth Beefy, you are providing liquidity so there is risk of depegging of the three assets whereas in a pool, you are only providing one asset.
Not here to say one is better than the other. Lower transaction fees on Animal Farm, but longer period to see rewards. Rewards in wBTC,sBTC, and multBTC LP vs. Dogs. Animal Farm did go down once in the past for several months. It's always important to consider different pros vs. cons.
Thank you for sharing this opportunity as well!