My feeling is that the best way to reduce subconscious bias is to have good race relations. And the best way to have good race relations is to have more positive interactions than negative interactions.
A thought experiment: Imagine a non-Mexican person says "I love celebrating Cinco de Mayo. It's an excellent excuse to drink tequila!"
As a culture, we can decide whether that's a positive interaction or a negative interaction.
We can make it a positive interaction by laughing and clinking glasses.
We can make it a negative interaction by calling the person out for cultural appropriation or trivializing an important Mexican holiday.
My intuition is that making it a negative interaction is a big mistake, because it worsens subconscious racial biases and generally makes the world a less pleasant place. I recommend playing this game https://ncase.itch.io/wbwwb to better understand my intuition here. (Based on what I've read about Israel/Palestine, the game is an excellent description of why things have been getting so bad there lately.)