Reactive Object is not updating on template Vue3 Composition API

I'm struggling with this for a few days, maybe you could help me. I'm trying to fetch data from firebase (saved in state.state.memory and display it on my template. My variable saved updates on console, but template doesn't shows anything. I tried everything but I can't get anything on the template, could you explain?

Thanks!!

template

<template>
  <div class="memory" id="memory">
    Memory
    <div class="elementos-memoria" v-for="item in saved" :key="item">
      {{ item.primero + item.operador + item.segundo + ' = ' + item.resultado }}
    </div>
    <div class="elementos-memoria" v-for="cuenta in cuentas" :key="cuenta">
      {{ cuenta }}
    </div>
  </div>
</template>

script

import M from "materialize-css";
import { inject, reactive, watch } from "vue";

export default {
  props: {
    cuentas: Array,
  },
  setup() {
    const state = inject("store");
    let saved = reactive({});
    watch(
      () => state.state.memory,
      () => {
        saved = state.state.memory;
        console.log(saved);
      }
    );

    setInterval(() => console.log(saved), 1000);

    return {
      saved,
    };
  },
  mounted() {
    M.AutoInit();
  },
};

Auth.js File

const state = reactive({
    user: {},
    memory: {},
})

const login = (email, password) => {
    let memory = []
    auth.signInWithEmailAndPassword(email, password).then((data) => {
        state.user = data.user
        db.collection('users').doc(state.user.uid).collection('operaciones').get().then((queryResult) => {
            queryResult.forEach(doc => {
                memory.push(doc.data())
            })
            state.memory = memory
        }).catch(err => console.log(err))
    })
}

const signIn = (email, password) => {
    auth.createUserWithEmailAndPassword(email, password).then(cred => {
        state.user = cred.user;
    })
}


const logout = () => {
    auth.signOut().then(() => {
        state.user = null;
        state.memory = null;
    })
}