Nonconformist

You need to get the following items to show the goth kids how "goth" you are:

• Goth Cap
• Goth Gloves
• Goth Outfit
• Dark Roast Coffee
• Pack of Cigarettes

Find a pack of smokes somewhere in South Park.

Find a group of kids in the alley beside Jimbo's shop and attack them. Beat them up to get their cigarrettes.

Goth Cap, Gloves and Outfit

You can buy these from the hobo in front of U-Stor-It

Dark Roast Coffee

You can get this from Tweek Bros.

After getting all the requirements, the elves will surround you and invite you to come with them. You can fight them if you want but you'll still be taken away.

Once you've reached the elven kingdom, Jimmy and Stan will be unlocked as buddies. The last fast-travel flag is located here as well. Talk to Dogpoo, Jimmy and Stan to unlock new sidequests. You can also check for some new gear from the shop.

Once ready, head back to the goth kids, equip the Goth Cap, Gloves and Outfit and speak with them. They'll now ask you to head to the PTA meeting in the community center.

After the scene, Randy will tell you to meet him in the bathroom. This quest will be put on hold since you need to help Randy first in the next quest before you can put the insulting sign on the PTA table.

Once you've successfully completed the quest "PTA Problems" and got the picture of the insulting sign with the PTA members, head back to the goth kids. Talk to them again with the goth getup and they'll finally ask you to "dance like a goth" in the guise of a rhythm mini-game. Once done, you'll get their help and all four of them will be added to your Friends List.

After reporting to Kyle or Cartman, more cutscenes will follow. Both groups will end up meeting up in a battle at school. Depending on who you sided with, Cartman or Kyle will be added to your Friends List as soon as the next quest starts.