When Astrid enters the battlefield, its first ability and Samwise Gamgee trigger.
Resolve the Astrid trigger, creating two Clue, two Food and two Treasure tokens.
Resolve the Samwise Gamgee trigger, creating two Clue, two Food and two Treasure tokens.
Activate Shilgengar by sacrificing Astrid.
Activate Samwise Gamgee by sacrificing three Foods, returning Astrid from your graveyard to your hand.
Activate two Treasures by tapping and sacrificing them, adding 1.
Repeat.
This engine turns a loop of entering and leaving the battlefield into an overwhelming tide of resources, anchored by Academy Manufactor's replacement effect which multiplies every single token created into a full set of Clues, Foods, and Treasures. When Astrid Peth enters the battlefield, she triggers along with Samwise Gamgee, and thanks to Peregrin Took doubling the initial influx, Academy Manufactor turns those simple token generations into an avalanche of extra artifacts. You can then sacrifice Astrid Peth to Shilgengar, Sire of Famine to fuel his blood-generating sacrifice outlet, while simultaneously using Samwise Gamgee's ability to pull Astrid right back out of your graveyard using the abundant Food tokens you've piled up. Finally, cashing in the generated Treasures provides the exact mana needed to recast Astrid Peth and keep the cycle spinning infinitely.