Faint grinding noise when the steering wheel is rotated in very slow speed

Thanks for the reply. So far, the power on steering was lost twice while driving and the steering became hard and then it automatically restored itself after ten minutes. The constant rattling sound is likely coming from the power steering pump (not 100% sure though) because the power steering pulley has a lot of play.

If I take the power steering belt off and start the engine, will it harm the car? That way if the rattling sound goes away because of the non-rotating power steering pulley, it will eliminate the power steering pump and pulley as the suspects, right?

I checked YouTube videos and the classic rack and pinion symptoms are not there. After making a turn, the steering auto-centers itself and rotates back to straight position automatically just like a new car.

I haven't had a chance to remove the power steering belt and determine the source of the noise yet. It is too cold outside.
There is a brand new sound coming from underneath the car. It sounds like rubber rubbing. The noise is loud and only happens after starting the engine and eventually becomes a softer intermittent noise after a few minutes. I'll upload the sound samples soon.

Here is an audio file. There are two noises. One is the constant rattle from beginning to end which I suspect to be the power steering pulley. But the new sound is the squeak, sound like rubber balloon rubbing against something.

The site will not accept mp3 or m4a audio files. I converted the mp3 file to a mp4 and it will still not upload.

Used an online tool and created a video from the audio file and a photo that this website will allow uploading. Here is the audio:

That squeaking noise that sounds like rubber or plastic rubbing that starts from the tenth second of the video is the new noise I am talking about. It does not seem like bearing noise to me. Can you please listen to it again and let me know?

Below is another audio. I am concerned about the squeaking and banging noise that starts after seven seconds on the video and lasts until the end of the video. This is a new noise that recently started besides the constant rattle of the power steering pulley. The noise starts when the engine is restarted and the car starts moving. The noise kind of goes away (but not all the way) after a few minutes. The car drives okay even with this new rubber ducky squeaking noise. What is causing this new squeak and thud noise?

Thanks for your reply.
This car has 3 drive belts. Is it OK to run the engine with all 3 belts removed? Can I actually drive the car without the belts?

Thanks for your reply. The new squeaky sound appears only when the car is moving.
How can I test that without driving the car which requires all belts to be on?
The new squeak that is on the latest video is coming from underneath the car which is movement related. I'd be surprised if the bad PS pulley is also causing the new squeak. Maybe bad rack and pinion? Maybe bad bearing or ball joint (all of which have been replaced in the last year)?
I have not taken the belt off yet because it is extremely cold outside.

I reached out to you earlier regarding this but never had a chance to fix the issue. My old Hyundai is making loud grinding noise when moving. For the last couple of years there a rumbling noise when moving and the wheel bearing and ball-joint were replaced last year. But the rumbling noise never went away. It is a rumbling, crumbling and very loud grinding noise now. Tested wheel today, no sideways or up and down play at 3 and 9 O'clock and 6 and 12 O'clock. Dust shield is not scraping. The ball-joints and rubber boots look okay. Brake pads are one year old. The slight rattling and ticking noise when the car starts is a power steering pump noise which is very different than the rumbling grinding noise that I am trying to diagnose. Over the winter months there a squeaky rubber-ducky type noise which is gone now. The car has been making this grinding noise for six months now and it runs fine otherwise. Is it the strut bearing or the joints, worn out rubber or something else making the grinding noise? Advanced thanks for your help. I uploaded a video on YouTube regarding this issue. Here is the link:
https://youtu.be/nrz6r30mspg
I also have two audio files.

Here is another low resolution dash-cam video with audio. You can hear the rubber-ducky type sound when going round at the cul-de-sac towards the end. Previously I mentioned the rubber-ducky type sound was gone.
I boosted the audio gain by 20dB on the youtube video which may appear a bit noisy, my bad. I tried uploading the 2 "clean" MP3 audio files to 2carpros but your website stated "file type not allowed". Is there any way to send you those audio files? Advanced thanks for your help.