Show No Mercy Main Story, Brotherhood of Steel Quest
This quest will be triggered or can be aquired when you complete Tour of Duty quest.
Related points of interest
Stages of "Show No Mercy" quest
1. Meet with Elder Maxson
Now that I've familiarized myself with the Prydwen and her crew, I'm supposed to meet Elder Maxson on the Flight Deck for my first mission.
2. Board the Vertibird Gunship
Elder Maxson has ordered me to head out to nearby Fort Strong and cleanse it of all hostile Super Mutant forces. There's a vertibird standing by on the Prydwen's Flight Deck that will fly me to the location.
5. Secure Fort Strong Armory
Enter the building and kill all the mutans at the ground level. Use an elevator to get to the lower level and kill the rest of the super mutants.
6. Speak to Paladin Danse
I've exterminated all Super Mutant forces at Fort Strong. I should link speak to Paladin Danse before I head back to the Prydwen.
You can try to convince him to tell you why he hates the super mutants so much.
7. Speak to Elder Maxson
Paladin Danse has ordered me to return to the Prydwen to speak with Elder Maxson.
So now, you have to find out how to get into The Institute.
8. Quest completed
Elder Maxson was pleased with my work at Fort Strong and has provided me with Vertibird Signal Grenades to call in a vertibird if I need it for travel.