Coal looks sideways at Pernach, but doesn't respond. The one-armed warforged sits absolutely still while Pernach is next to her. DC15 Insight:

** Apparently, we misread the original description and Coal is female. **

Insight: 21

 "Are you a regular here? I came here on the referral of a colleague. Germaine had good things to say about it and said I might meet some interesting 'forged here." 

At the mention of Germaine, Coal turns her head towards Pernach and asks, "You know Sergeant Vilroy? Where is she?" You detect a scared tone in her voice.

Quote from Rhanloi >>

At the mention of Germaine, Coal turns her head towards Pernach and asks, "You know Sergeant Vilroy? Where is she?" You detect a scared tone in her voice.

 "On duty when I saw her earlier. Seemed to think she might stand out a bit here and cause more trouble than worth it, eh?"

"So she sent you?" Coal asks. When you confirm that you are working on her behalf, Coal hurriedly explains how she and her friend Razor were hired by young Caden d’Orien, the son of Alden d’Orien, to hunt for artifacts in Old Sharn. They agreed to the work because it was a “secret research-gathering mission” for House Orien, but things were rotten. The warforged were abused, and Razor was murdered by the Daask creatures who oversaw them. She even thinks young Caden was kidnapped.

Just as Coal is finishing her exposition, a bolt of fire explodes inches from Coal’s head, causing bedlam in the Cog Carnival! Coal runs for her life, shouting that the party set her up. The chase is on!

• You don't know who launched the firebolt at Coal.
• We'll use the standard Chase rules. Everyone roll initiative! (Coal init: 4)
• She will dash into the streets, running for her life.
• She starts 60' away from the five members in the Cog Carnival, and 50' away from Pepper.
• For the five inside, the entire place is in an uproar, so you need to make a DC 12 Strength (Athletics) or Dexterity (Acrobatics) check (your choice) to make your way through the crowd unimpeded. On a failed check, the crowd counts as 10 feet of difficult terrain (takes 20' of movement).
• For Pepper, the bouncer, Ingot, is a bit over-zealous in his duties and tries to grapple you (DC12 Acrobatics or Athletics to evade/break free) if you chase after Coal.

Pepper’s dice rolls to get them out of the way… man Ingot rolled well.

Initiative: 16
Athletics: 16

Son of a… as the door bursts open, Pepper makes a grab for the rushing warforge and the bouncer grabs her instead. “Let me go you bastard!” she shouts at him, tugging ineffectively. “She’s in danger!”

edit: this assumes Coal makes it out of the Cog, maybe one of the others will stop her…

Pernach listens intently to the tale, and is just as startled when the firebolt impacts nearby.

Init: 16

Athletics: 12

Pernach is nearly on Coal's heels; using their size to bull through the crowd. 

Action: Dash (7/8). Closes gap by 60'

Initiative: 10

Acrobatics: 6

Ashe is quick to react to the firebolt, but gets bogged down in the clamor of the warforged. He attempts to move over to the door to try and stop Coal from fleeing, but if he cannot make it, he cannot make it.

Initiative so far! Ashe(21) : Pepper(16) : Pernach(16) : Coal(16)

Go ahead and post your actions. During the chase, a participant can freely use the Dash action a number of times equal to 3 + its Constitution modifier. Each additional Dash action it takes during the chase requires the creature to succeed on a DC 10 Constitution check at the end of its turn or gain one level of exhaustion.

(I think Pepper has already posted her (my) action, trying unsuccessfully to get away from Ingot.)

Caelyn init 6

Acrobatics to get through crowd: 17

(Ack, sorry had a busy couple of days!) 

Init: 9

Acro: 13

Cyril is caught mid-drink as the firebolt goes off. Startling, he coughs and hacks for a moment to clear his airway before bolting out of his chair towards Coal. He hops onto a nearby table and begins moving from one to the next, skipping past the milling and panicked patrons as he takes off in pursuit. 

"Wait, let us help you!" 

Initiative:  Ashe(21) -- Caelyn(17) -- Pepper(16) -- Pernach(16) -- Coal(16) -- Cyril(9) -- Kira(17)
Start Position: Coal -- Pepper(-50') -- Ashe(-60') -- Caelyn(-60') -- Pernach(-60') -- Cyril(-60') -- Kira(-60')

• Ashe is quick to react to the firebolt and attempts to stop Coal from fleeing, but gets bogged down in the clamor of the other warforged. (Move and dash 50') (Complication for next round? 16)
• Caelyn also tries to force her way through the crowd but gets caught up in the mosh pit that is now the Cog Carnival! (Move and dash 50') (Complication for next round? 17)
• Pepper makes a grab for the rushing Coal but the bouncer grabs her instead. “Let me go you bastard!” she shouts at him, tugging ineffectively. “She’s in danger!” (grappled-no movement) (Complication for next round? 3)
• Pernach is on Coal's heels; using their size to bull through the crowd and dashing after her. (Move and dash 60') (Complication for next round? 5)
• Coal continues to run head-long through the streets. (Move and Dash 60') (Complication for next round? 17)
• Cyril uses the furniture to his advantage, going over and around the crowd to get out of the bar. (Move and dash 60') (Complication for next round? 19)
• Kira DC12 Acrobatics: 12 then move and dash (40' / 50') (Complication for next round? 16)

Round 2 Position: Coal -- Pepper(-110') -- Ashe(-70') -- Caelyn(-70') -- Pernach(-60') -- Cyril(-60') -- Kira(-70')

• Ashe - 7: You run into a brawl in progress. Make a DC 15 Strength (Athletics), Dexterity (Acrobatics), or Charisma (Intimidation) check (your choice) to get past the brawlers unimpeded. On a failed check, you take 3 bludgeoning damage, and the brawlers count as 10 feet of difficult terrain.
• Caelyn 
• Pepper - 3: Ingot lets you go, but still blocks your path. Make a DC 10 Strength saving throw to push through him and keep going. On a failed save, you bounce off the bouncer and fall prone!
• Pernach 
• Coal 
• Cyril -6: You come upon a pack of dogs fighting over food. Make a DC 10 Dexterity (Acrobatics) check to get through the pack unimpeded. On a failed check, you are bitten and take 3 piercing damage, and the dogs count as 5 feet of difficult terrain.
• Kira 

Pepper shoves Ingot hard (Athletics): 15

…and rushes past him. “What happened?!” she yells at any of the others. Racing after the disappearing Coal, she digs deep.

Move 30’
Action -> Dash 30’
Action Surge -> Action -> Dash 30’
Total 90’

Kira just nyooms it, as one does. She Dashes.

Cyril hits the door running, sprinting past the tussling Pepper and the bouncer, who quickly finds himself on the ground. 

"Not sure! There was fire and Coal bolted!" 

Catching a glimpse of his quarry, the monk races off once more. he curses under his breath as the dogs snarl and growl at each other in his path. hurriedly he makes a decision and attempts to use the wall nearby to go over and past the pack, hoping he can get by without being caught up by accident in their struggle. 

Moving out of the bar Caelyn glances through the street mentally forming a path for herself to not run into anything again. She starts to run zigzagging through the people in the street. As Ashe runs into a streetbrawl Caelyn darts around jumping over a cart to give herself a clear path. 

Caelyn doubles down her efforts and quickly hops over things to create a shortcut, trying her best to control her own breathing before getting to winded. 

Movement: 30ft
Action: Dash 30ft
Bonus action: Dash (rogue cunning action) 30ft
Total of 90ft movement

Dashes used before possible exhaustion 3/5. 

(As you catch up to Coal, are you saying anything, or trying to grab her, or something else to get her to slow down/stop and talk with you? Talk is cheap - it's a free action!)