I have -
A masters degree in Philosophy from the London School of Economics - I got two distinction grades out of 4 units, but only a merit grade overall and HERES THE BIG PROBLEM: only a pass grade for my dissertation
a first class honours degree in economics from a mid-tier UK university
Won a minor award for my undergraduate economics dissertation
Spent a year studying philosophy/ economics at UC Santa Cruz - got a 3.93 GPA, 4.0 philosophy GPA
Can probably get 3 strong letters of recommendation - one from my undergrad dissertation supervisor, two from LSE
GRE results - 98th centile verbal, 17th centile maths (could probably get to 50th/ 60th centile maths with a lot of work but won't have time this application cycle)
If I'm lucky I may have a forthcoming publication in an upcoming Routledge Book on Philosophy of Economics by the time I submit my applications
My question is, assuming I don't get the Routledge publication, am I competitive or will my botched masters dissertation sink my chances completely? Would a publication largely erase this problem? Do I need to do a second masters? Is there anything (besides of course just having an otherwise excellent application) that I can do to try and mitigate the problem caused by my masters dissertation?
Thank you very much in advance to anyone who takes the time to offer me some advice