CMV: US Senate Democrats gave away their only leverage as the minority party by voting to approve the stopgap bill.

I'm looking for a convincing explanation for the decision made by Schumer, Gillibrand, Fetterman, et al in joining Republicans on passing the stopgap bill.

Ideally some insight on maybe the technicalities of what the bill is compared to a mpre comprehensive budget - are they going to fight harder come the end of this stopgap bill?

I need something far more detailed than "Trump and Musk could do more if Govt were shut down" - how, specifically, and by what mechanisms, and how would that be worse than their attempts to do roughly the same already?

I also want to know, as a follow-up, if this wasn't a good enough reason for Dems to use what is roughly their only real leverage in the minority - the filibuster - what is? When will they use it, and why then and not now?

If you tell me that the reasoning is that voters would blame Dems for the shut down, then you'll need to explain how this (https://poll.qu.edu/poll-release?releaseid=3921) is wrong:

If a government shutdown does occur, 32 percent of voters say they would blame Democrats in Congress the most, 31 percent say they would blame Republicans in Congress the most, 22 percent say they would blame President Trump the most, and 15 percent did not offer an opinion.

Even if all 15% undecideds suddenly turned on Dems, that still doesn't match the 53% who would blame Trump or Republicans.

Alright. Somebody change my view.