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Mr. Muse, whose district includes Oxon Hill, said Mr. Baker chose to support National Harbor without any local input, and argued that choosing the development over Rosecroft would essentially abandon the “struggling and dying” racetrack.

“It gives the appearance of just the kind of good old backroom deal that has plagued Prince George’s County in the past,” he said. “It wasn’t done fairly, it’s not done rightly and if it has to wait a year or two, we’ve survived this long without it.”

Mr. Miller said lawmakers will consider both sites and that he expects the Senate to pass the bill, potentially leading to a tougher battle in the House.

The bill is sponsored by seven of the 13 senators on the Senate committee, but some members have raised questions about a proposal by Mr. Baker to reduce the percentage of revenue that would go to education.

Developers at National Harbor said they support the project but would participate only if allowed to offer table games.