Two words

Tactical,
Onesie.

In between burning Rau's house and catching a boat to chase Linue & Patrii across the sea, Parthia stopped at a clothier.
She had to replace the makeshift tunic and come up with a better solution to the bindle that wouldn't impead her movement when walking & running on all fours. This solution ended up being a garment that is essentially a sleeveless onesie made of medium weight canvas.
It leaves her arms and legs with full range, and there are a series of pouches on the _inside_ so nothing can fall out even during hard sprints. The bonus is that when she's walking upright it's impossible for someone to pickpocket her without instantly getting caught.. Someone foolish enough to attempt to pickpocket her would get yanked off the ground by their wrist & likely beaten for inadvertently feeling her up. She's not modest, but she has zero chill when touched without consent.
The onesie is also constructed such that the straps clip at the sternum for ease of use. If she needs to, she can disrobe with two sharp motions.

Her cloak. Her cloak is constructed from waxed canvas salvaged from a tent. It's constructed with a front panel that clips up so she can travel on all fours without it dragging.