The background story is as follows. Author flunked engineering entrance exam. He took tuitions by paying hefty fee from his father pockets in order to crack the exam. How ever he flunked again. After results he had scolded and reprimanded by his father. Then author went out from home to take a break. And now he is returning to home.
I walk back home. The one-hour walk in the fresh air made me feel better temporarily. I should not talk to Baba(Father) about expensive private colleges, I thought. May be I should talk him about me making money in a job rather than spending more. First, I would have to end his sulking though.
What is the meaning of Sulking though here?
I know the meaning of though is despite the fact that. But the literal meaning ('First, I would have to end his bad tempered silence despite the fact that') seems to be meaningless.