the odds of town winning is exactly 51.667% (31/60) but I think this will be 50/50 because of unoptimal play and gting (prs forget to out who they are going to visit at the end of the day)
anyways this is how you are supposed to play it:
D1: prs claim as prs (they don't claim their role, they just claim pr) because it does more good than harm. if uncced* lead a lynch together on whoever they think is scum. remember prs should choose one person to visit and out it before the day ends to make sure they don't visit the same person. prs shouldn't visit eachother either.
N2: lawyers law eachother and decide who to kill in prs as their goal is to kill the cop. killing in blues is always unoptimal** and the outcome is exactly like killing oracle. remember if lawyer was lynched on d1, then killing outside prs is gting so don't do it. oracle should orc whoever (except the cop and cop's target) because whether they reveal mafia or a blue the outcome of the game won't change. cop won't get a useful report unless lawyer is lynched on d1, in that case the other lawyer will be guilty and everyone else will be inno.
D2: if cop is dead, oracle claims and leads the lynch. if oracle is dead then cop outs and reports and leads a lynch. if you lynched lawyer on d1, and cop survived to d2 innos are blue and guilties are mafia, if lawyer wasn't lynched on d1, then reports don't mean anything. if blue was lynched on d1, and mafia killed in blues then prs shouldn't claim, they should just lead a lynch together.
N3: if you killed oracle on n2, then kill the cop. if you killed cop on n2, kill a blue (don't kill the oracle) and good luck in the 3way.
D3: scumhunt based on the information you have and lynch the scum.
*if there were 3 or more pr claims then ask them to hard claim and lynch in the ccs. **with one exception: killing cop's target when lawyer was lynched on d1 which is the same as killing the cop and for that to happen you still need to decide which pr is cop and which pr is oracle. so if lawyer was lynched on d1 and a blue died the next night and it wasn't autowin for town, it means cop's report died.