First of all, one hour at FTP?!? You, sir, are an animal. That takes a big chunk of mental fortitude. 10x3 minutes (= 30 minutes!) is savage, no wonder you are having trouble. It sounds to me as you can take a lot of pain and suffering.
AFAIK 6-7x3 minutes is more standard, and even that is quite hard and will hurt. If you insist on wanting to do 10, I’d train to get there. Do everything you can to make things easy for you: ride at your favorite cadence, take in plenty of your preferred fuel (gels, energy mix, gummi bears), coffee, listen to your favorite pain cave songs, wear your favorite pair of bibshorts, make the rest intervals easier and perhaps a tad longer, etc. And start with as many intervals as you can do reliably, say, 7. When you can do 7 reliably, add another. If you bail, you bail, your 8th interval is your bonus. Give yourself the option to fail, just give your best.
Another option is to do less intervals harder. Many VO2max workouts set your power level at 120 %. So perhaps you get more bang for your buck to be able to reliably do 6-7 intervals at 120 %. If that’s easy, try 122 %.
Honestly, though, I’d be careful, it seems 10 x 3 minutes is at the more extreme end of things, and you accrue too much fatigue over such a workout to negatively impact the quality of subsequent workouts.