I just played my copy of that 45 at 2 grams, and it did not skip.
I checked out the 45 with a magnifier and saw that the cut is heavily modulated, with several potential problem areas where the grooves almost touch. No wonder you're having problems, a tiny piece of gunk stuck in the groove could cause havoc. I have fixed drastic problems like this by wiping with mineral turps, then cleaning normally. If anything is obstructing the groove, turps will flush it. But a warning to anyone reading this, mineral turps will melt styrene discs. It's a last resort only. Pussy Galore is vinyl so it's ok. For anyone wondering about the long term effects of turps, relax, I successfully treated my Barracudas "Baby Get Lost" with turps 20 years ago. It was lightly covered with spray glue and crackled like hell. Conventional alcohol cleaning did not help. Today it looks and plays like a mint record.
I noticed the topical lyric - 'They all have to take a vaccine when they see this action cat".
edit - The problem is not necessarily gunk in the groove. It could be a misaligned cartridge, or a worn stylus. Or just a cartridge/stylus incapable of handling the exxxtreme modulations of Pussy Galore. Audio Technica 540 ML/H can handle it.