Dems have offered, repeatedly, to revive it and work on it with the GOP. But the MAGAs won't touch it, because they *want* immigration to remain in crisis so that they can continue to blame Dems for the problem.

To be fair, though, they also fundamentally disagree with the proposals of that 2013 bill. I mean, there was enough opposition to it from the GOP base voters ten years ago to torpedo it (and cost Mel Martinez his Senate seat) - that faction of the party has only grown more numerous and powerful today. Plus, the Democrats have also moved on immigration from where they were in 2013 - I don't know that the 2013 bill could get Democratic approval in the House today.

Sadly, there's probably just no "dealspace" on immigration right now. Nothing that the Democrats would agree to can get Republican approval; nothing that Republicans would agree to can get Democratic approval. So there will be no significant change to current immigration rules unless and until one or both of the parties shifts off their position - not as a negotiating point, but the range of what they might possibly agree to.

I agree with the sentiment of the OP, that the tactic of providing bus transportation to Blue cities has proven to be enormously effective in causing pain within the Democratic caucus on this issue. It may end up changing where the Democrats stand on immigration, pushing them back towards where they were in 2013.