Delete profile photo

Hi, I make a livewire compnent who store, update profile photo well. But the issue is with delete method displayed below. When I click on Delete Button nothing happen. Is this code correct because the update method delete old image and replace it with a new one well.

/**
     * Update profile image
     */
    public function updateProfileImage(): void
    {
        $this->validate([
            'newProfileImage' => 'image|mimes:png,jpg,jpeg,gif,svg|extensions:png,jpg,jpeg,gif,svg|max:2048'
        ]);

        $user = User::find(Auth::id());
        $name = $user->profile_image;
        if ($this->newProfileImage) {

            Storage::delete('public/profile_images/' . $user->profile_image);

            $name = md5($this->newProfileImage . microtime()) . '.' . $this->newProfileImage->extension();
            $this->newProfileImage->storeAs('profile_images', $name, 'public');
        } else {
            $name = $user->profile_image;
        }

        $user->profile_image = $name;
        $user->update();

        $this->dispatch('refresh-me');
        $this->newProfileImage = null;
    }

/**
     * Delete profile image
     */
    public function deleteProfileImage(): void
    {

        $user = User::find(Auth::id());

        Storage::delete('public/profile_images/' . $user->profile_image);

        $user->profile_image = "";
        $this->dispatch('refresh-me');
    }