Plugging your team into a calculator, you don't have a summon listed. If you aren't running with a summon, this would be why you aren't seeing a chase increase; without a summon your chase chain does not connect to allow you to use Tayuya's chase multiple times. I would suggest utilizing a summon to allow her to chase more.
If you are using a summon and simply forgot to detail it, can you please make a video of one of your rounds of the fight (not first round, not controlled) that demonstrates that you aren't chasing when you should, so that I can take a look?
OK, I just found out that there is a fairly specific bug that happens with these ninjas. Tayuya's chase breakthrough SETS her chases per round to two, and that overrides Anko's +1 chase increase per round. So unfortunately these two units will not work together if chase increasing is your goal. This issue has been reported and is known by the devs, but it's such a niche case it seems low on the priority list to fix, unfortunately. Sorry about this. :(
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