Katie Wilson, a staple of Seattle’s progressive politics, who for years toiled behind the scenes of City Hall in pursuit of higher taxes on Amazon and stronger regulations for renters, is likely to be the city’s 58th mayor.

After trailing by more than 10,000 votes the day after the election, Wilson, 43, chipped away at Mayor Bruce Harrell’s margin as late-counted ballots broke her way. She took a tiny lead in Monday’s count, and with Tuesday’s additions, Wilson is now ahead by 1,346 votes.

The race could ultimately prove to be the closest in Seattle’s history and trigger a mandatory recount. But with few ballots remaining, Wilson is now the clear favorite to be elected.

“We’re going to wait for all of the ballots to be counted, but I think we won this race,” Wilson said Tuesday.

If she

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