If I live in Aalborg and get a job in Copenhagen, what tax deductions will I be entitled to?

I plan to work in Copenhagen from Monday to Thurs/Friday, and then go back home to Aalborg on weekends.

I will make one trip to CPH on Monday morning, and then a trip back to Aalborg on Thursday evening. I will rent a room in CPH and my main residence is my house in Aalborg.

According to my research I am able to claim a tax deduction for these 2 trips from AAL to CPH, which is about 800kr per week. Thats 3200kr extra on my tax free allowance per month, and like 40k per year. Am I really entitled to that?