如何使 \cref 中的关键字与枚举环境兼容

Question

我的问题如下，

\documentclass[12pt]{article}
\usepackage{mathtools}
\usepackage{amssymb,amsthm}
\usepackage[inline]{enumitem}
\usepackage{hyperref}
\usepackage{cleveref}

\newcommand{\Crefdefpart}[2]{
  \nameCref{#1}~\hyperref[#2]{\labelcref*{#1}\ref*{#2}}
  }
\crefname{enumi}{part}{parts}

\begin{document}
Stated in terms of choice functions, Zermelo's first formulation of AC reads:
\begin{enumerate}
    \item\label{enum:AC1} Any collection of nonempty sets has a choice function. 
    
    \cref{enum:AC1} can be reformulated in terms of \textit{indexed} or
    
    \item[AC2]\label{enum:AC2} Any indexed collection of sets has a choice function.
    
    \cref{enum:AC2}: Informally speaking, \textbf{AC2} amounts to the assertion that a variable set with an element at each stage has a variable element.
\end{enumerate}
\end{document}

结果如下

问题：

1. 如果我想让\cref识别\item方括号里的关键字，例如AC2，我该怎么做？
2. 为什么两个 /cref 都指向同一个东西？有什么线索吗？

提前致谢。