Capital Loss Carry over question

Hi, 

If I loss $3K in 2023 stock investment, I am allowed to deduct $3,000 in my 2023 tax return and $2.7K will be carried to 2024.  Supposed I also have a $3K carried over from 2022, does that mean I can have another $3,000 deduction from my 2023 return?   

And what will be carried over loss to 2024 in this case ?  2.7K + 2.7K =$5.7K? 

If I used TT to transferred my previous return, will my total carried over be recorded/transferred automatically by TT?

 

 

Thanks