Ah ok, lease company maintenance.
One thing that really pissed me off is taking the car for new tyres at say 1.8mm tread, and being told by the tyre dealer that he won't change it until they are 1.6mm. Happened every time......and before you say I'd just wheelspin the tyres in the parking lot down a few tenths, if the tyres look abused the lease co. can refuse to pay out.
On the basis that it is dangerous to run tyres down to 1.6mm I would rather pay for my own tyres. Also run flats start making serious noise below about 3mm. Something to think about.