I did a series of stupid things today and now I have a small piece of loose plastic in my power steering reservoir of my 2008 Mazda3. Could it be pulled into the power steering pump?

Here's what happened: I was topping up the reservoir and overfilled it a lot, so I used the top of a plastic spray bottle to extract the excess. There was a plastic "skirt" at the end of the spray tube. I stupidly pushed the tube past the narrow neck of the reservoir, and when I pulled the tube out, the skirt detached.

I'd say the skirt is about 3/8" in diameter and 1/8" thick.

Is there a filter at the bottom of the reservoir for 2008 Mazda3 that would prevent this from getting sucked into the pump?