I run Tubolito X Gravel TPU tubes and while they are thicker than normal TPU tubes they are very flat resistant.. I carry one extra tube in my saddle bag along with a patch kit. I also carry tire levers, one Co2 cartridge and have a small frame pump..

I assume Lyft or Uber (never used either) might pick you up if you put in the notes section (if they have one) that you have a bike that also needs to be transported.. I say if you think you might need their service to contact either company and ask if that's something they'd even do..