Isolating conditional formatting to each range in a column

I've set up conditional formatting to highlight the top 3 values (gold, silver, bronze) in a range of rows. However, I want to be able to copy/paste the conditional formatting below the initial rows for multiple datasets and have the conditional formatting function on each individually.

Currently, I have it working in the initial dataset, but it breaks when copying more below it. My conditional formatting is currently (with two additional formats for silver and bronze)

=C3=LARGE(C$3:C$8,1)

I've tried pretty much every variation in absolutes and relatives, as well as using RANK without success.

Here's a link to it as well https://docs.google.com/spreadsheets/d/1kIYfF2cCDfWTYVebFsXxveh2f9GoOjydAG2XOiFw2v0/edit?usp=sharing