And to clarify, this does not need to go back to the house because the house had already technically passed a bill that approved the funding. As I understand it, it was just later intended to be merge into the main CR bill.
After it was cut from the CR, the Dem senators were then able to save the funding by just approving an earlier standalone bill which had already passed the house
Also worth noting that senate dems were able to do some maneuvering to resecure most of that pediatric cancer funding that president-elect Musk and house republicans cut of their CR bill
The house had already technically passed an earlier bill that approved similar funding (intended to be merge into the main CR), so the senate dems just went back to that earlier bill and voted on it and got that passed