You can use the Sawyer female inline adapter and a short piece of hose to backflush the Mini with a water bottle.
https://sawyer.com/products/sawyer-inline-hydration-pack-adapters/The adapter also comes in the fast fill package.
https://sawyer.com/products/sawyer-fast-fill-hydration-pack-adapters/All you need to use it is a Smart Water bottle (or similar).
Having the backflush water source connected to the filter is a lot better than trying to hold a syringe against the outlet.
The Sawyer cleaning coupling can be used with the Squeeze.
https://sawyer.com/products/sawyer-cleaning-coupling/I think that this is a much better choice than the syringe for most people.
The videos are here:
https://sawyer.com/videos/sawyer-cleaning-coupling/https://sawyer.com/videos/backwashing-tips-tricks/Also, the rubber gasket on the inlet to the filter is the same as a garden hose gasket. You can carry one of these as a spare in case you drop the gasket. The Sawyer gaskets are often glued in place with a couple of drops of silicone, but they don't always hold the gasket.