Deeper dive
Nothing you do places food on the sandwich by hand — the official description and both full sessions show cooked items stacking themselves. That means height goals are really throughput goals: the tower grows exactly as fast as cook cycles complete. Two levers move throughput, and both are documented: more parallel appliances, and shorter average cook times per item.
This is why the biggest towers in the checked footage belong to sessions with three or four cookers running and a queue of fast mid-tier foods between the long bakes. The tower is the scoreboard; the kitchen is the game.
Deeper dive
The official description challenges you to “see how high your sandwich can go” but publishes no maximum, and no checked source documents a cap or a final layer. Player clips of extreme towers use the same open-ended loop. Set milestones that mean something to you — a visual landmark, a rarity on top, a stack count — and treat outside claims of a height limit as rumors until a source shows one.
The practical corollary: height records are a race of persistence, not unlocks. Nothing in the documented economy gates the tower behind an event, a code, or a purchase tier — every stack comes from the same cook cycle anyone can run. If the game later adds a height-based reward or cap, the update timeline will record it with a source.