[SPARK-46231][PYTHON] Migrate all remaining `NotImplementedError` & `TypeError` into PySpark error framework

### What changes were proposed in this pull request?

This PR proposes to migrate all remaining `NotImplementedError` and `TypeError`  from `pyspark/sql/*` into PySpark error framework, `PySparkNotImplementedError` with assigning dedicated error classes.

### Why are the changes needed?

To improve the error handling in PySpark.

### Does this PR introduce _any_ user-facing change?

No API changes, but the user-facing error messages will be improved.

### How was this patch tested?

The existing CI should pass.

### Was this patch authored or co-authored using generative AI tooling?

No.

Closes #44148 from itholic/not_impl_and_type.

Authored-by: Haejoon Lee <haejoon.lee@databricks.com>
Signed-off-by: Dongjoon Hyun <dhyun@apple.com>