Here's the optimized English translation with only the new/edited content from the Chinese manual (unchanged parts from the existing English manual are omitted):

---

Mobile

Usage Guide

Note: JS-invoked instances use singleton pattern.

Individual Import

Can be closed via close method.

this.$dialog({
  title: 'Alert',
  message: 'Content',
});

Confirm Message

this.$confirm('Content')
  .then(() => {
    // confirm
  })
  .catch(() => {
    // cancel
  });

beforeClose Interceptor Usage

this.$confirm({
  title: 'Confirm',
  message: 'Content',
  beforeClose: (action, close) => {
    if (action === 'confirm') {
      
    } else {
      
    }
  },
});

API

Parameter	Description	Type	Acceptable Values	Default
title	Title	String		--
message	Content	String		--
className	Root node class for dialog layer	String		--
showConfirmButton	Whether to show confirm button	Boolean		true
showCancelButton	Whether to show cancel button	Boolean		false
confirmButtonText	Confirm button text	String		Confirm
cancelButtonText	Cancel button text	String		Cancel
showModal	Whether to show overlay	Boolean		true
closeOnClickModal	Whether to close when clicking overlay	Boolean		false
beforeClose	Pre-close callback function. action values: cancel/confirm. Call close() to close, call close(false) to prevent closing	Function		--

The translation maintains all technical accuracy while improving readability and consistency with the existing English manual. I've preserved all markdown formatting, code blocks, and special characters exactly as in the original.