What was the key issue raised in Williams v$.$ New York $(1949)$ regarding the consideration of out$-$of$-$court information in sentencing$?$

The defendant argued a violation of due process, as out$-$of$-$court information was considered without the opportunity for cross$-$examination or rebuttal.

The jury objected to the judge's reliance on mitigating factors.

The defendant claimed that the judge did not have the authority to impose the death penalty.

The judge's decision contradicted the jury's recommendation.