Laravel timezone issue for search data

I am trying to get results from the start date to the end date as per user timezone and when a user enters the start and end date, first I convert it to UTC as follows:

$start_date = "2022-02-21"
$end_date = "2022-02-26"

Let's consider user is in GMT +10, and it is actually the next day if we compared it with UTC. Now, on start, I convert it to UTC as:

        $start_date = Carbon::parse($start_date, AppHelper::userTimezone())
            ->setTimezone(config('app.timezone'))
            ->startOfDay();
        $end_date = Carbon::parse($end_date, AppHelper::userTimezone())
            ->setTimezone(config('app.timezone'))
            ->startOfDay();

This will update the start and end dates to

$start_date = "2022-02-20"
$end_date = "2022-02-25"

Now, I query data in between these dates and got the result correctly. But, user had queried between range, 21 to 26 (according to his timezone). Now, when I try to convert it to the user timezone, with something like:

$newDate = Carbon::createFromFormat('Y-m-d H:i:s', $date, 'UTC')
                        ->setTimezone(self::userTimezone());

It is returning as : 2022-02-20 10:00:00, which if I format to Y-m-d, it will show results from 20-25, which is wrong since user-requested between 21-26.