Manchin, who sank Biden's signature social and climate spending legislation right before Christmas, will attend Monday night's Senate leadership meeting and Tuesday's weekly caucus lunch likely to discuss BBB.
The details included a $1.8 trillion offer from Manchin that contained money for universal preschool and green tax credits though nothing for the child tax credit, which gives families up to $3,600 per child per year.
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Families who earn up to $400,000 had been getting some CTC payments under the program that ended January 1.
The lunch will be the first time all Senate Democrats are together since Manchin publicly resisted the bill. According to Axios, Schumer will reportedly choose whether to hold a vote on the bill after the session.
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Last month, Manchin announced he wanted a new bill that goes through Senate committees and concentrates on rolling back the 2017 Trump tax cuts.
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"I knew what they could and could not do," Manchin announced on West Virginia MetroNews on Dec. 20. "They just never realized it, because they figured surely to God we can move one person. Surely, we can badger and beat one person up."
He continued: "Well, guess what? I'm from West Virginia. I'm not from where they're from, [where] they can just beat the living crap out of people and think they'll be submissive."
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One senior Senate Democratic aide told Axios that people "have had time to cool off; Manchin's had time to cool off.
"We'll have to see now what becomes possible."
Manchin announced that the bill needs to go through a committee to have any chance of succeeding.
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"I won't continue to go down everything you want to do, major policy changes and reconciliation. It needs to go through a process," he explained to MetroNews.
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One potential resolution to the stalemate would be to remove the CTC from the Build Back Better legislation, which the Senate plans to pass with only Democratic votes.
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The chamber could then have a separate, focused debate throughout a midterm year regarding making the tax credits permanent.
Some Republicans, like Sen. Mitt Romney (R-Utah), are supportive of the CTC, but it's unclear if Democrats could find all 10 Republicans needed to clear the 60-vote threshold for passing major legislation.