I don’t think that
That spider is from from another dimension because how that spider came to this world before opening the portal.
He may be the part of oscrop experiment (as per comics)
They do some experiment with the blood of late Peter Parker, to regenerate that formula of becoming Spiderman.

As we seen it is a part of oscorp company and the spiders are there way before the poratla was opened so there are from the Same univwrse

I accept the @Yashwanth answer he said correct

It was from the same universe ,the colours might be due to radioactive spider