Relationship between Percy and Vax'ildan

Before the Storm
Percy and Vax'ildan were once very trusting of each other, the two of them having a friendly and humorous rapport with each other. At one point during the group's escape from the Underdark, Vax even grabbed Percy and kissed him on the cheek.

A Broken Friendship
Things went downhill fast for Percy and Vax's friendship after Vex'ahlia's death, caused largely by Percy's own negligence, and remained that way for a long time. Vax blamed Percy for his sister's death and Percy agreed, with Percy approaching Vax after the ordeal to apologize. Vax then apologized to Percy before punching him in the face, a blow that Percy stood there and took. The two then curtly parted ways.

Vax remained distrustful of Percy, continuously questioning Percy's actions and morals throughout their journey. This divide between them only widened after the revelation that Percy was the one to give Craven Edge to Grog while knowing the sword's sentience came to light following the goliath's soul being sucked into the sword.

Percy reached out to Vax with what could be considerred an olive branch multiple times throughout their feud, with Vax either ignoring or outright refusing most, if not all, of them. At one point Percy even made him a raven skull brooch filled with sweet-smelling herbs using a cast of the raven skull Keyleth gave him and the jewels he won from Vox Machina's cannonball contest, the intent being to help with the stench of death and feathers from Deathwalker's Ward. He even encouraged Vax to pursue Keyleth, much to the rogue's confusion.

Unbeknownst to Vax, Percy visited the Raven Queen and took blood from the pool in her temple. Percy brought Vex along with him while he set up a small shrine to the goddess in Whitestond and entrusted the care of it to Zahra. When Vex asked who the shrine was for, Percy or Vax, he told her that it was for Vax so he could help them.

Mending What Was Broken
When the group returned from the Feywild, Percy finally showed Vax the shrine to the Raven Queen he'd made for him and the two had a frank discussion about their relationship. Percy told Vax that he wants to be in the rogue's good graces again, but for the time being requests that he "never trust him". Vax agreed, informing Percy that he still continued to see him as a friend despite their strained relationship. The two have since continued to repair their relationship, with Vax even going so far as to tell Percy that he considers him like a brother.

When Percy showed interest in Vax's plan to deliver the journal of Opash to the Raven Queen's temple, Vax asked Percy if he wished to accompany him and Percy agreed. During the trip, the two of them briefly discussed how glad they were that their relationship is better than it was previously. Vax told Percy that he likes the version of him that his relationship with Vex brings out and Percy agreed before he then told Vax that he likes the version of the rogue that isn't afraid, prompting them to hurry up with delivering the journal so they can get a drink and get Vax feeling better. On their way back, Percy told Vax that it's his job to find happiness before he's pulled away on his duties to the Raven Queen and that Keyleth deserves better than Vax at his worst. Percy then proceeded to slap Vax on his rear before walking off to join the Vex and Keyleth at the bar.