Why does not Vue model update when input.val(value)?

I have editable table:

<div id="myTable">
   <b-table class="overflow-auto" :items="filtered" :fields="visibleFields" :filter="filter">
        <template v-for="field in editableFields" v-slot:[`cell(${field.key})`]="{ item }">
            <b-input v-model="item[field.key]" placeholder="--" @@change="update" />
        </template>
    </b-table>
</div>

Vue script(cdn)

    <script src="https://cdnjs.cloudflare.com/ajax/libs/vue/2.6.10/vue.js"></script>
    <script src="https://unpkg.com/[email protected]/dist/bootstrap-vue.min.js"></script>
    <script src="https://code.jquery.com/jquery-3.6.0.min.js"></script>
    <script src="https://unpkg.com/axios/dist/axios.min.js"></script>

    <script>


        new Vue({
            el: "#myTable",
            computed: {
                editableFields() {
                    return this.fields.filter(field => field.editable);
                },
                visibleFields() {
                    return this.fields.filter(field => field.visible)
                }
            },
            data: {
                filter: '',
                filtered: JSON.parse(`@Html.Raw(Model.SportBudgetsJson)`),
                fields: [
                    { key: 'Id', label: 'Id', visible: false },
                    { key: 'Field1', label: 'Field1', editable: true, visible: true, class: "percentageFormat pValue", thStyle: { width: "5%" } },
                    { key: 'Field2', label: 'Field2', editable: true, visible: true, class: "moneyFormat mValue", thStyle: { width: "10%" } },

                ]
            }
        });
...

And js functions for formatting values in the table:

 function formatValue(value, event, isPercent) {
     ... // returns value in ###.##% or $###,###.## format
     return formattedValue;
 }

 function copyValue(element, isPercent) { //update in % value if $'s value have changed and vise versa
     var selector = isPercent ? '.mValue' : '.pValue';
     var input = $(element).parent('td').parent('tr').children(selector).first().children('input');
     var value = element.value.replace(/[^d]+/g, '');
     value = converValue([value.slice(0, -2), '.', value.slice(-2)].join(''), isPercent);
     $(input).val(formatValue(value, 'input', !isPercent));
 }

 function converValue(value, isPercent) {
     value = parseFloat(value);
     var totalBudget = parseFloat(`@Model.TotalBudget`);
     if (isPercent) {
         return parseFloat(totalBudget * (value / 100)).toFixed(2);
     }
     else {
         return parseFloat(value / totalBudget * 100).toFixed(2);
     }
 }
     
 $(document).ready(function () { // apply format events
     $('.moneyFormat input').each(function (index, el) {
         $(el).val(formatValue(el, "input", false));
         $(el).on("input change", function (event) {
             $(this).val(formatValue($(this).val(), event, false));
             if ($(el).parent('td').first().hasClass('mValue'))
                 copyValue(this, false);
         });
     });

     $('.percentageFormat input').each(function (index, el) {
         $(el).val(formatValue(this, "input", true));
         $(el).on("input change", function (event) {
             $(this).val(formatValue($(this).val(), event, true));
             if ($(el).parent('td').first().hasClass('pValue')) {
                 copyValue(this, true);
             }
         });
     });
 });

when I use $(input).val(formatValue(value, ‘input’, !isPercent)) value in the table updates, but v-model not.
but when I type the value to input manually – v-model updates

I want to implement real-time values update:
Total sum $100.00
Field1: changes from 12.00% to 13.00% so Field2 automaticly changes from $12.00 to $13.00

Total sum $100.00
Field2: changes from $50.00 to $45.00 so Field1 automaticly changes from 50.00% to 45.00%

The values should calculates and pastes to their inputs

How can I update v-model to inputs values?