Here is what I do using Intl api:
let currentTimeZone = new Intl.DateTimeFormat().resolvedOptions().timeZone; // For example: Australia/Sydney
this will return a time zone name. Pass this parameter to the following function to get the time
let dateTime = new Date(date).toLocaleDateString('en-US',{ timeZone: currentTimeZone, hour12: true});
let time = new Date(date).toLocaleTimeString('en-US',{ timeZone: currentTimeZone, hour12: true});
you can also format the time with moment like this:
moment(new Date(`${dateTime} ${time}`)).format('YYYY-MM-DD[T]HH:mm:ss');