There seems to be a way to become hard-locked after buying Finally Broken. The Cycle of Points multiplier never reaches the point when buying a Fractured Cycle is possible.
Cycles upgrades bought up to and including Supercycle, 0 buyable and no completed challenge.
I tried to modify the save to bypass the issue, but when getting back to 0 Fractured Cycle after buying a Cycle Shard, the hard-lock happens again.
I'm able to provide an unmodified save if needed :-)
Thanks for your work!