Where did you get that? Never saw that happening at TC, and even if it did, no way Brady would have quit "playing it for a while."
Multiple reports over the years. Here's a Globe article on it, for an example:
Bucket drill keeps Patriots QBs competitive
Here's Howe talking about it coming back with JAG:
Here's Ian writing about it with Brady and JAG:
Brady on Bucket Challenge vs Garopplo: "He's a good competitor" - PatsFans.com