The bill the House will be voting on isn’t the one that already passed the Senate.
They won’t bring it to the house floor until they have the votes to pass the “new” bill in the Senate.
You are incorrect. The House MUST pass the Senate bill as-is and this must happen first.
Then, and only then, can they proceed with reconcilation. The reonciliation is simply the amendments the President is proposing.
Note that this leaves the liberal pro-abortion language intact