What is considered a glue data catalog object for pricing?

In Glue Catalog pricing, it says

With the AWS Glue Data Catalog, you can store up to a million objects for free. If you store more than a million objects, you will be charged $1.00 per 100,000 objects over a million, per month. An object in the AWS Glue Data Catalog is a table, table version, partition, partition indexes, or database.

I have created a Glue Table and run Lambda jobs to create partitions like the following method 4 in: https://medium.com/@bv_subhash/demystifying-the-ways-of-creating-partitions-in-glue-catalog-on-partitioned-s3-data-for-faster-e25671e65574

If my partition schema looks like:

year=yyyy/month=mm/day=dd/

And the files stored on S3 bucket look like:

year=2023/month=5/day=19/file1.parquet
year=2023/month=5/day=19/file2.parquet
…
year=2023/month=5/day=19/file288.parquet

Is an object in the glue catalog just the partition? Or all the files within the partition considered glue data catalog objects too? We were planning to emit ~300 files within a single bucket, so this question super important because if each file counts as an object, then its 300x the price.

I've asked sales representative, and they think a file might count, but told me I should talk to tech support and linked me to re:Post to confirm since they weren't sure.