Returning date as an object in system timezone

**Describe the bug**
My system time is PST and trying to convert to CST. Here's what we have:

```
dayjs.extend(relativeTime)
dayjs.extend(advancedFormat)
dayjs.extend(utc)
dayjs.extend(timezone)

dayjs.tz.setDefault('America/Chicago')

const timezonedDayjs = (...args: any[]) => dayjs(...args).tz()

export default timezonedDayjs
```

`timezonedDayjs().format()` will return the correct date, time and timezone (good) but in a string (bad)
`timezonedDayjs().toDate()` will return the correct date and time but incorrect timezone (bad) but in an object (good)

Is there any way to have `timezonedDayjs` return the correct timezone (CST) in the correct format (object)?

**Expected behavior**
A clear and concise description of what you expected to happen.

**Information**
- Day.js Version v 1.11.10
- OS: Mac OS 14.5
- Browser Chrome 126.X
- Time zone: GMT-0500 Central Standard Time

The issue names no source file or test. Begin by reproducing the shown utc and timezone plugin setup with dayjs.tz.setDefault('America/Chicago'), then inspect how format() and toDate() represent the same value. Done would require a documented or tested resolution for the requested timezone-aware object behavior.

Written by the indexing model from the issue text.