$('.contacts-tel-reg-item').on('click',function () {
var get_code = $(this).attr('data-mask-phone');
var get_flag = $(this).children('.contacts-tel-reg-item--flag').attr('style');
$('.contacts-tel-reg--flag').attr('style',get_flag);
$(this).parents('.contacts-tel-reg--wrap').next('.mask-phone').mask(get_code);
});
<form id="contact">
<div class="form--wrap">
<div class="input-form--wrap contacts-form-page">
<input class="input-ur-forms w-48" type="text" placeholder="Как вас зовут?" name="name" required>
<!-- <input class="input-ur-forms w-48" type="email" placeholder="Email..." name="email" required> -->
<div class="contacts-tel-reg input-ur-forms w-48">
<div class="contacts-tel-reg--wrap">
<div class="contacts-tel-reg--flag" style="background-image:url('{{ asset('static/img/content/ru.jpg') }}');"></div>
<div class="contacts-tel-reg--arrow">
<svg class="icon icon-arrow-down ">
<use xlink:href="{{ asset('static/img/svg/symbol/sprite.svg#arrow-down') }}"></use>
</svg>
</div>
<!-- +375 (99) 999-99-99 -->
<!-- +380 99 999 9999 -->
<div class="contacts-tel-reg-list">
<div class="contacts-tel-reg-item" data-mask-phone="+7 (999) 999-99-99">
<div class="contacts-tel-reg-item--flag" style="background-image:url('{{ asset('static/img/content/ru.png') }}');"></div>
</div>
<div class="contacts-tel-reg-item" data-mask-phone="+380 (999) 999-999">
<div class="contacts-tel-reg-item--flag" style="background-image:url('{{ asset('static/img/content/ua.png') }}');"> </div>
</div>
</div>
</div>
<input class="mask-phone" type="tel" minlength="17" requred placeholder="" required name="phone">
</div>
</div>
<textarea class="textarea-forms mb-4" cols="5" rows="4" placeholder="Комментарий..." name="comment" required></textarea>
<button class="main-button-color mw-200 m-0-auto" type="submit">Отправить
<svg class="icon icon-arrow-button " width="36" height="16" viewBox="0 0 36 16" xmlns="http://www.w3.org/2000/svg">
<path id="i-2" d="M34 8L0 8"></path>
<path id="i-1" d="M17 8L0 8"></path>
<path id="i-3" d="M27 1L34 8L27 15"></path>
</svg>
</button>
</div>
</form>