React native redux toolkit?

Question

I am currently working on project where i have to use redux. I have used redux and redux toolkit both but at some stage both are not working. REDUX TOOLKIT: I have this Slice

  import { createSlice } from '@reduxjs/toolkit';

const initialState = {
  restname: '',
  checked: [],
};

export const cartSlice = createSlice({
  name: 'cart',
  initialState,
  reducers: {
    checkbox: (state, action) => {
      const { checkboxValue } = action.payload;
      if (checkboxValue) {
        console.log('ADD TO CART', checkboxValue);
        state.checked.push(action.payload.item);
        console.log('pressed', state);
      } else {
        state.checked.filter((item) => item.name !== 'one');
        console.log('deleted', state.checked);
      }
    },
    cartPressed: (state, action) => {
      (state.restname = action.payload), console.log(state);
    },
  },
});

export const selectChecked = (state) => state.cart.selectedItem;
// Action creators are generated for each case reducer function
export const { checkbox, cartPressed } = cartSlice.actions;

export default cartSlice.reducer;

I am deleting value when check box is uncheked but it does not deletes it from state here is output:

pressed {"restname":"","checked":[{"name":"one"}]} Chrome: item true Chrome: ADD TO CART true Chrome: pressed {"restname":"","checked":[{"name":"one"},{"name":"two"}]} Chrome: item true Chrome: deleted {"restname":"","checked":[{"name":"one"},{"name":"two"}]} Chrome: item false

when i delete it it does nothing

{abc.map((item) => (
          <BouncyCheckbox
            text={item.name}
            style={{ padding: 2 }}
            iconStyle={{
              borderColor: 'lightgray',
              borderRadius: 0,
            }}
            fillColor="red"
            unfillColor="#FFFFFF"
            onPress={(checkboxValue) => {
              dispatch(checkbox({item:item,checkboxValue}))
              console.log('item',checkboxValue);
            }}
          />
        ))}

abc is nothing but an array=> let abc = [{name:'one'}, {name:'two'}, {name:'three'},{name: 'four'}];

I am working in react native Here is expo link enter link description here