I think you should move if you don't like the noise.
Or talk to the neighbor about it. And if they refuse... start recording it, and initiate a legal action to request injunctions against their noisy activity, sue for damages or to seek a noise abatement order against the neighbor.
In most states, the neighbor could be liable from $50 to $100 a day. Much more, if it causes medical/psychological issues, or if it affects the value of your property or interferes with your ability to rent or sell..
You'll need to be able to prove using recordings, police reports, and your witness testimony that
* The noise is excessive and disturbing, and
* The neighbor is creating the noise (or e.g. is the landlord and therefore, responsible), and,
* Your enjoyment of your space is affected, and
* You verifiably asked the neighbor to stop the noise on multiple occasions, and they had refused or continued to make the noise.