Also don't wear any clothing you bought from a unique Etsy store (or any store you physically visited and paid with a card).
The clothes you wear to the protest should also be bought from a thrift store that you visited without your cellphone and paid for the clothing in cash.
Otherwise, yes, your clothing purchases are tracked, and the young lady who torched a cop car during the George Floyd protests was literally found by the FBI searching Etsy purchase records for people who had bought that shirt.
https://www.inquirer.com/news/lore-blumenthal-philly-protests-george-floyd-sentencing-20220728.html
Other options are facial recognition defeating clothing like this:
https://www.dezeen.com/2023/02/07/cap_able-facial-recognition-blocking-clothing/
Or this:
EDIT:
But neither of those help when we're dealing with stuff like Gait Analysis.
For help with that, we must turn to the Ministry...