Red t-shirt hot time; how does it work for Zero? Edit: Also another question; unisex

Since apparently you get a gender-locked shirt that changes depending on your character's gender.
If I stand around as Beta will it give me the female one, does Zero get both, or what?

Talking about the shirt/hot time from this post on orange mushroom, closer to the bottom of the thing.

Zero gets both shirts. Source: my Zero in kms.

One mooooore thing.
If I equip a unisex cash item, will I need two of them (for Alpha and Beta) or does it apply to both of them with one item?

One mooooore thing.
If I equip a unisex cash item, will I need two of them (for Alpha and Beta) or does it apply to both of them with one item?

It'll apply to both characters with one unisex item.