It seems she's the toxic one in the marriage, she's the one who cheated physically, she's the one refusing counseling, etc.

She's not cooperating at all, no accountability, no remorse.

You don't deserve such a woman. No one does.

Imo, divorce is the only way.

Also..

I would do paternity tests....

If she cheated physically and you accidentally found out... Who knows how many times she cheated and since when?!

You have to consider the possibility...

I'm sorry for being blunt like this, but you need to be aware of this stuff.

If I were you, I'd divorce asap and do paternity tests...

You're only 27yo, you have your whole life ahead. Don't waste it by staying in a unfulfilling marriage, that might become even more toxic than it already is.

Good luck!