What a ****, how can we pay for recovery then be told a puncture was self inflicted. Reminds me of when my breakdown cover swindled £200+ to recover the car after a crash yet this was clearly the same as recovering a none running car.
Presuming the wheels are 35 in height theirs no issue with boot width and I've had my own 19's which are 8.5J fit in the boot fine (from what I remember, worst comes to worst the carpet will be raised a couple mm).
I leave my spare at home and carry a can of tyre foam, I also don't have breakdown cover due to my experiance and live in hope that the car doesn't fall apart.