I’d recommend watching as much of TCW:R as possible because I think I’ve highlighted all of the arcs which give you the most value for money- so if your goal is “maximum good” then that’s what I’m going for here. But if you want to speed run it quickly then the episodes with a red tick by them are the bare minimum to get you ready for other media. Geonosis is good too.
In terms of Anakin/Dooku, technically any fight they have doesn’t conflict with ROTS, so I haven’t actively cut any (other than passively just cutting weaker episodes), but it’s fairly minimal if memory serves.
Same deal with Obi-Wan/Grievous.
The show does avoid having Grievous see Anakin though, so there’s no conflict with Grievous’ “You’re taller than I expected” in ROTS.
I’d recommend you just watch!