very clever set up i like it.especally if its a doddle to fix a flat when out for a spin.
show us a photo of your complete wheel please Pete.
Hi Yes and No!
1st Most people run sealant in tyres so no need to fix your tyre, just remove nail etc and ride on.
2nd If you run Tubeless tyre and rim's you can pump up again with a STD bicycle pump (98% of the time)
3rd If your using None Tubeless Tyre, none Tubeless Rim etc! Yes you will need a air hose at a workshop etc, or a CO2 to pump up.
But I just carrie a Tube and fit it if I do flat and fix once home.
Happy Cycling
Pete