You had only 1 Remodel.
Lets see.. You starting hand: KC, TR, Moat, Colony (1 down cause of Cutpurse). You KC a TR instead other way around because who wants to play Moat 3 times?
You draw Platinum, Platinum, Remodel, Golem. Duchies and Estates are gone, no other VPs than 2 Colonies and some Provinces. You are losing by 10, as we established.
You can't Golem first, cause you know you wll hit that Trading Post and screw yourself. You can't remodel Golem into anything that gives VP, nor buy anything with 1 Platinum that you are left with. If you Remodel Platinum and Colony into Colonies you are still tied and with 5$, and again if you hit TP with Golem you lose (only if you hit both Sw and Jester you can win). So you must TR Remodel and Platinums to Colony. (And Besides, its obvious, greedy move 
Or to make it simpler and drop "you are losing at the start of your turn" part.
You started 10 points ahead, with TR, Golem, Colony, which you had to play (if you only golem'd, you'd still lose, if you do nothing, opponent gets Colony). Edit: few edits, won't edit anymore I hope.
