I use this sieve-like thing sold as an "oil skimmer" that's sold in local Asian markets for USD$1.49
It has a super fine mesh, but it doesn't get clogged filtering my French press brew.
Anything that gets through, I can drink easily.
Here's the closest thing I could find on Google https://www.amazon.com/Stainless-Skimmer-Strainer-Filter-Handle/dp/B0CWKNP2VS/ref=asc_df_B0CWKK61YF/