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“Obviously, this is not just a red and blue question,” she said. “I’ve run a lot of races, and you always run into people not supporting you.”

In July, Ms. Dill sent a letter to Sen. Patty Murray, Washington Democrat and chairwoman of the Democratic Senatorial Campaign Committee, politely reminding Ms. Murray that “votes — not personalities — will change policies to help American families.”

Ms. Dill’s tune has changed somewhat. On Wednesday, she said she had gotten a “very positive response” from her ongoing campaign efforts and developed “personal relationships” with many of the delegates.

Mr. King has not said with whom he would caucus — if at all — though the strong assumption is he will ally, at least unofficially, with the Democrats, if elected. A spokeswoman for Mr. King said he was “feeling support from both Democrats and Republicans.”

If the dynamics of a three-way race were not complex enough, a Republican-leaning political action committee recently ran ads in support of Ms. Dill.

Mr. Palmer called the ad blitz an “amusing act” designed to steal votes from Mr. King, and was the first of its kind he’d seen in Maine.

Emily Cain, the minority leader for the Maine House of Representatives, said among her Democratic colleagues the ads are something to laugh about, but “it goes to show in politics strange things can happen … and what big money in politics can do.”