Assemblers have flexible input stack sizes, so you can for ex. make rocket silo which uses 1k concrete, despite concrete stacking only to 100.
IIRC The assemblers will take 2 or 3 times as much ingredients as it's required.

However, looking at your case, where you have 3.3k Advanced Circuits in ...

Hi, I"ve been running into the problem that random inserter will work even when the factory has full product causing one or more ingredients to get stockpiled in the factory when the factory is shut down, as shown in the picture. Also if one chest has many different ingredients it would not pick the ...