"Tamte dziewczynki lubią psy."

Translation: Those girls like dogs.

[Maxim.Nazarenko]

I've used "that" over "those" and it's incorrect.
Even in "Tamte" translation it says "those/that".

[Jellei]

"tamte" is plural. "those" is plural. "that" isn't.

[Yjboimo]

What's the difference between tamten/tamta/tamto and tamci?
What's the difference between ten/tan/to and ci?

[Jellei]

It seems like this is an article that you could really use: https://www.clozemaster.com/blog/polish-demonstrative-pronouns/

Out of the forms you listed, "tan" doesn't exist, it's probably a typo of "ta".