public with sharing class AccountListCtrl {

    @AuraEnabled(cacheable=true)
    public static List<Api.AccountWrapper> getAccounts(String filter) {
        List<Api.AccountWrapper> result = new List<Api.AccountWrapper>();

        try {
            result = ...
        }
        catch(Exception ex) {
            new AuraHandledException()...
        }

        return result;
    }

import { LightningElement, track, api } from "lwc";

import getAccounts from "@salesforce/apex/AccountCtrl.getAccounts";

export default class TaskList extends LightningElement {

    @track accounts = [];

    connectedCallback() {
        this.loadAccounts("myAccounts");
    }

    changeFilter(event) {
        this.loadAccounts(event.detail.value);
    }

    loadAccounts(filter) {
        getProcesses({ filter: filter })
            .then((result) => {
                this.accounts = result;
            })
            .catch((error) => {
                ...
            })
            .finally(() => {
                ...
            });
    }
}