Okay but here me out, what if we 10^43 more monkeys to balance out the speed?

In fact, let’s push this to an extreme. We get enough monkeys that their mass turns them all into one black hole. Inside the black hole, the laws of physics get all fucked. Next we need to somehow dissolve the event horizon as explained in This Kurzgesagt video. Once that happens and we are left with a bare singularity, anything can pop out of it, including a copy of Hamlet.

The monkeys, however, will very likely be dead.