Glue table partition format question

Hi, We send our database old data into S3 in this format:

{table}/year/month/day/asset_id.parquet so we have a lot of files like this: table/2024/01/28/z.parquet table/2024/01/28/y.parquet table/2024/01/29/z.parquet table/2024/01/29/y.parquet etc...

When I edit my glue table and click on Partition it says : "No available partitions." Am I missing something? Is it because we need to specify in the file name the actual meaning of the number like here for example ? {table}/year=2024/month=10/day=28/z.parquet {table}/year=2024/month=10/day=28/y.parquet

Is Glue able to automatically partition with my file naming convention "accelerometer/2024/01/28" ?

What do you guys recommend doing for me ? Thank you!