[Bug Report][3.6.12] Error in VDateInput with @date-io adapter

[itpalert]

Environment

Vuetify Version: 3.6.12
Vue Version: 3.4.31
Browsers: Chrome 117.0.0.0
OS: Linux x86_64

Steps to reproduce

import { createVuetify } from 'vuetify'
import DayJsAdapter from '@date-io/dayjs'

export const vuetify = createVuetify({
  theme: {
    defaultTheme: 'light',
    //
  },
  date: {
    adapter: DayJsAdapter,
  },
})

<template>
  <v-app>
    <v-container>
      <v-date-input label="Date input"></v-date-input>
    </v-container>
  </v-app>
</template>

Expected Behavior

I can save the date.

Actual Behavior

With dayJs adapter getting this error:
t.clone is not a function

With luxon adapter getting error for:
value.getMonth is not a function

Reproduction Link

https://play.vuetifyjs.com/#...

[kor3k]

also got error with js-joda adapter.
TypeError: temporal.query is not a function
seems like the VDateInput always produces native js Date() and does not use adapter.date().