The disgraced former congressman — who’s sitting on a $4.5 million campaign war chest — is mulling a bid for citywide office next year and “seriously considering” a mayoral run, multiple sources told The Post. …

“I’ve heard he is seriously thinking about getting into a citywide race in 2013 and would like it to be mayor,” said a source with ties to Weiner. “In his mind, he’s trying to figure out how to run for mayor.” …

The buzz in political circles is that the sext-happy Weiner has a better shot at public advocate — a $165,000-a-year job viewed as a “cleansing” post where he could put his character issues further behind him as he prepped for a 2017 mayoral run.