I pulled the battery.
As an aside, I will say that municipal waste has antipatterns for responsible waste disposal. Someone could:
A) disassemble their ewaste, remove the battery, look up which of 10 days a year they can drop it off, and pay a $50+ fee
B) quietly put it in their trash
I'll let you guess what most people are actually doing.
Contrast this with car batteries where manufacturers pay for batteries that are not responsibly handled and consumers are incentivized to dispose of them responsibly with a financial carrot. The manufacturer pays for the disposal, passes that cost on to the consumer, and the consumer gets the money back when they responsibly dispose of it.