NativeDateAdapter doesn't show month correctly after set locate

Question

I extend NativeDateAdapter in angular material 13 and set locate to "fa-IR", after that the problem is, it doesn't show persian month from first day

it start show month from 12th day!! as show in this link

here is my adapter

import { NativeDateAdapter } from '@angular/material/core';

export class NativePersianDateAdapter extends NativeDateAdapter {

  override parse(value: any): Date | null {
    if (typeof value === 'string' && value.indexOf('/') > -1) {
      const str = value.split('/');

      const year = Number(str[2]);
      const month = Number(str[1]) - 1;
      const date = Number(str[0]);

      return new Date(year, month, date);
    }
    const timestamp = typeof value === 'number' ? value : Date.parse(value);
    return isNaN(timestamp) ? null : new Date(timestamp);
  }

  override getFirstDayOfWeek(): number {
    return 6;
  }
}

and I use it like this in app.module.ts

  providers: [

    { provide: MAT_DATE_LOCALE, useValue: 'fa-IR' },
    { provide: MAT_MOMENT_DATE_ADAPTER_OPTIONS, useValue: { useUtc: true } },
    {
      provide: DateAdapter,
      useClass: NativePersianDateAdapter,
      deps: [MAT_DATE_LOCALE, MAT_MOMENT_DATE_ADAPTER_OPTIONS],
    },

    { provide: MAT_DATE_FORMATS, useValue: PERSIAN_DATE_FORMATS },

  ],

Could any one help me?