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The formatter callback is only intended to change how the value is displayed to the user, not change its value.
If you want to be able to change the value, I’d suggest using a slot for the value property and use v-model on a form component within the slot:
<template v-slot:cell(value)="data">
<input type="text" v-model="data.value"/>
</template>
Source:stackexchange.com