Incorrect .add(..) / .hour(..) when using timezones on DST

[episage]

Describe the bug
dayjs incorrectly adds hours when working with timezones with times crossing DST.

Expected behavior
On 2021-03-14 02:00:00 NY shifted clocks 1 hour forward. .hour(..) should take that into consideration. Same for .add(..)

var dayjs = require('dayjs');
var utc = require('dayjs/plugin/utc')
var timezone = require('dayjs/plugin/timezone');
dayjs.extend(utc)
dayjs.extend(timezone)

var moment = require('moment-timezone');

console.log(moment.tz("2021-03-14 03:00:00", "America/New_York").format());
// correct 2021-03-14T03:00:00-04:00
console.log(moment.tz("2021-03-14 03:00:00", "America/New_York").hour(1).format());
// correct 2021-03-14T01:00:00-05:00

console.log(dayjs.tz("2021-03-14 03:00:00", "America/New_York").format());
// correct 2021-03-14T03:00:00-04:00
console.log(dayjs.tz("2021-03-14 03:00:00", "America/New_York").hour(1).format());
// INCORRECT 2021-03-14T01:00:00-04:00, time offset is wrong

Information

• Day.js Version: 1.11.7
• moment Version: 2.29.4
• moment-timezone Version: 0.5.40
• OS: macOS 11.6
• Browser: node v16.13.0
• Time zone: Mon Jan 02 2023 10:42:19 GMT+0100 (Central European Standard Time)

[KronosDev-Pro]

On dev branch, on Day.js v1.11.7 and on #2118 :

const NY = 'America/New_York'

describe('issue 2184 - add in timezones on DST', () => {
  it('Sun Mar 14 2021 03:00:00 -0400, with "set 1 hour "', () => {
    dayjs.extend(timezone)
    dayjs.extend(utc)

    const date = '2021-03-14 03:00:00'
    const goodAnwser = moment(date).tz(NY).hour(1).format()

    console.log(
      dayjs(date).tz(NY).hour(1).format(), // 2021-03-13T01:00:00-05:00
      goodAnwser // 2021-03-13T01:00:00-05:00
    )

    expect(dayjs(date).tz(NY).hour(1).format()).toBe(goodAnwser) // pass
    expect(dayjs.utc(dayjs(date).utc()).tz(NY).hour(1).format()).toBe(goodAnwser) // pass
    // expect(dayjs.tz(date, NY).hour(1).format()).toBe(goodAnwser) // is not passing
  })
})

Hoping that this will solve your problem 😉