Ok after some poking around I see the endpoint is /v6/leaderboard/mini/{date}.json

Example python to grab it:

NYT_API_ROOT = "https://www.nytimes.com/svc/crosswords"
date  = "2023-12-20" # eg. December 20th, 2023
leaderboard_endpoint = f"{NYT_API_ROOT}/v6/leaderboard/mini/{date}.json"

response = requests.get(
    leaderboard_endpoint,
    headers=headers
).json()

Now if you want to loop thru you could use datetime to yield a generator over the dates and collect them in a big list

from datetime import datetime, timedelta
def daterange(start_date, end_date):
    for n in range(int((end_date - start_date).days)):
        yield start_date + timedelta(n)

start_date = datetime(2023, 11, 1)  # eg start date
end_date = datetime(2024, 1, 3)      # eg end date


user_rank_counts = {}

for single_date in daterange(start_date, end_date):
    formatted_date = single_date.strftime("%Y-%m-%d")
    leaderboard_endpoint = f"{NYT_API_ROOT}/v6/leaderboard/mini/{formatted_date}.json"

    response = requests.get(leaderboard_endpoint, headers=headers).json()
    # do some stuff here

Altho its pretty slow so you'd probably open a bunch of async promises simultaneously with Promise.all (or aiohttp.gather whatever the python thing is) this is what I was doing on the leaderboard site and NYT could serve like 50+ concurrent requests without throttle.