I carry this but it's probably a little too big for a saddle bag. Slightly longer than a folded 700c tube but much thinner - the 80ml size.
https://www.wiggle.com/lifeline-tubeless-tire-sealant/
Stan's also has this small size bottle it's slightly larger than a CO2 cartridge.:
https://www.jensonusa.com/Stans-No-T...2-Ounce-Bottle
You should also get one of these:
https://www.wiggle.com/lifeline-tubeless-repair-kit/
ETA: Wait did you puncture your tubeless tire, the puncture didn't seal and then you pinched the tube? Or did you flat a tube and then pinch the replacement tube? Because the second scenario needs a patch kit not a tubeless sealant kit.