By Alexander Dziadosz BEIRUT, **v 19 (Reuters) - Leba**n's central bank prides itself on being one of the few institutions to survive the country's 15-year civil war intact. Nearly quarter of a century later, it hopes its reputation will help it weather a conflict in neighbouring Syria which is disrupting the Mediterranean nation's politics and its eco**my. To underline its legacy, the bank has opened a museum in central Beirut. The idea, officials say, is to bolster a factor integral to any monetary system's stability: public trust. ...