Here’s a little idea, I don’t know how valuable it would be, but it might be worth thinking about:
You could potentially move Padmé’s early conversation by video with the Neimoidians on their bridge to when she’s on Tattooine.
During the “The death toll is catastrophic”/“It’s a trap, send no reply” segment, you could follow that up a short time later with Padmé’s “The Trade Federation have gone too far this time” - and then follow that with the launch of the probe droids and eventual attack by Maul.
Does that make for an interesting throughline?