Remove usage of deprecated functions from the codebase

[kevinjqliu]

Apache Iceberg version

None

Please describe the bug 🐞

Functions that are marked deprecated emit a warning. We should remove the use of deprecated functions from the codebase.

List of deprecated functions
https://github.com/search?q=repo%3Aapache%2Ficeberg-python+deprecated%28+language%3APython&type=code&l=Python

For example, #1318

[ndrluis]

@kevinjqliu Could you explain what you expect? I didn't understand the purpose of this issue. I believe we are supposed to warn the user when they use a deprecated API.

Were you referring to removing the deprecated code from version 0.8.0?

[kevinjqliu]

@ndrluis yea the difference is to not use the deprecated API in pyiceberg's own codebase, which will emit warnings. For example, #1326 removed the use of identifier_to_tuple_without_catalog.

[ndrluis]

Oh, ok. I believe we need to work on #1099. The way we are currently working makes it hard to deprecate because most of our code is public.

[kevinjqliu]

That's true. For the short term, it'll be good to go through the API already marked for deprecation and make sure the codebase itself is not using them