I have been trying to get free Apple TV trial

I have trying to try Apple TV promotion

If you haven’t redeemed an offer for an Apple TV+ trial before, and haven’t enjoyed it through Family Sharing, then you can get a free trial. If you recently bought a new qualifying Apple device, then you may be able to get an extended free trial. If you got a product or service from a partnering company, then there are offers to Apple TV+ from that too.

For the offer from Apple for an extended free trial to Apple TV+:

Read here how to redeem: Apple TV+ offer - Apple

Read here about the conditions: Apple TV+ offer - Terms and conditions - Apple

Read here if you have trouble redeeming: If you can't redeem your promotion for an Apple subscription - Apple Support

↳ Step 5 says to contact Apple if the prior steps didn’t bring a solution. They can assist.

I got Apple Arcade instead of Apple tv

That’s fine, if you like that, and it doesn’t affect offers for Apple TV+. You can get one or both; these are independent of each other.