Blind Betrayal

Blind Betrayal is a Brotherhood of Steel main quest and achievement/trophy in Fallout 4.

Quick walkthrough

 * 1) Speak to Elder Maxson.
 * 2) Speak to Proctor Quinlan.
 * 3) Follow Scribe Haylen.
 * 4) Speak to Scribe Haylen.
 * 5) Travel to Listening Post Bravo.
 * 6) Locate Paladin Danse.
 * 7) Speak to Paladin Danse.
 * 8) Execute Paladin Danse.
 * 9) Retrieve Paladin Danse's holotags.
 * 10) Watch Danse's execution.
 * 11) Speak to Elder Maxson.
 * 12) Return to the Prydwen.
 * 13) Speak to Elder Maxson.

Detailed walkthrough
Requirements: After completing Liberty Reprimed the Sole Survivor is ordered to report to the Prydwen immediately. Once aboard Elder Maxson confronts the Survivor, demanding to know if they were aware Paladin Danse was a synth. He reveals that the network hack on The Institute's mainframe provided indisputable proof Danse is not human, but instead is a construct by the unit designation M7-97. The Survivor then is given several medium-difficulty persuasion checks to convince Elder Maxson they did not know Danse's true nature.

The Sole Survivor is then ordered to find Danse, who has gone AWOL, and execute him. The Survivor meets with Proctor Quinlan to work out a way to track Danse down, but they are interrupted by Scribe Haylen. Haylen then pulls the Survivor aside, makes a plea to the Survivor on Danse's behalf, and directs them to a previously decided upon fallback location: Listening Post Bravo.

After dispatching the security measures (two exterior turrets, one exterior protectron, and three additional protectrons down the elevator), the Survivor locates Danse inside the bunker. There they must decide how to proceed.

Plan A: The Last Danse
The Survivor may execute Danse with or without speaking to him, alternatively one can just let him commit suicide. On his body they will find a synth component and Danse's holotags. Collect the tags, return to The Prydwen, and inform Elder Maxson the deed is done.

Plan B: One Last Danse
Refuse to execute Danse. Danse will protest, insisting synths are abominations and that he must be made an example of. Passing a medium-level persuasion check will convince him he is no threat to humanity and he should flee the Commonwealth. Danse gives the Survivor his holotags to appease Maxson.

Exit the bunker. Elder Maxson is waiting outside, having followed the Survivor for fear they would prove insubordinate. From here there are three options:
 * Concede to Maxson and kill Danse. Danse will submit peacefully.
 * Fail to convince Maxson to spare Danse OR request he perform the execution himself. Maxson will kill Danse.
 * Persuade Maxson to let Danse live. Maxson will reluctantly agree, but will exile Danse from the Brotherhood. As a known synth Danse will be fired upon on sight by Brotherhood soldiers.

After a begrudging agreement, the Sole Survivor is left with Danse. One can:
 * Tell him to stay (he remains in the Commonwealth).
 * Beckon him to accompany the Sole Survivor as a companion.

Whatever decision is made, return to The Prydwen. Speak to Maxson to receive the rank of Paladin. The Sole Survivor will also be given all of Paladin Danse's belongings, including his living quarters and his personal power armor.