Something’s off with my front derailleur (Di2 105) – help?

Hey everyone,
after about 1500 km on my Shimano 105 Di2 setup, I started noticing that the front derailleur was shifting a bit weird. When shifting to the big chainring, there’s a noticeable lag (around 5 seconds), and sometimes I even have to push the derailleur with my fingers to get it to shift.

At one point during a bikepacking trip, the chain even dropped when shifting to the small ring and got pretty badly stuck. I didn’t have time to troubleshoot then, so I just kept riding.

Now that I’m back, I took a closer look and noticed that the entire front derailleur wobbles significantly when I push on it from the side. I don’t see any loose bolts or screws, but it definitely doesn’t feel stable. Is that normal for Di2, or is something off?

Any ideas on what might be causing this or how to fix it? Thanks in advance!