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Make sure you buy a 26mm socket and grind it flat if you're tackling damper removal/swap out. For a general service you don't need to remove it though.
Edit: I did a service on mine, bath oil is super easy. I also did a full clean, float oil change (using gear oil).
For 100 quid I'd expect a full strip and clean with new seals everywhere. Except for damper service, the newer 32s generally don't need much interaction on the damper side apart from a pull out and clean. If you've ruptured seals and diaphragms in the damper unit then your repair gets costly.
£100 for servicing Fox 32s. Fair?