Also not a lawyer.

This legal doctrine is called Fruit of the Poisonous Tree and there are specific exceptions that can be made for it. According to its wikipedia page:

The doctrine is subject to four main exceptions.[citation needed] The tainted evidence is admissible if:

it was discovered in part as a result of an independent, untainted source; or

it would inevitably have been discovered despite the tainted source; or

the chain of causation between the illegal action and the tainted evidence is too attenuated; or

the search warrant was not found to be valid based on probable cause, but was executed by government agents in good faith (called the good-faith exception).

That said though, half this page is appended with [Citation Needed] so I maybe wouldn’t take that as gospel.