### What changes were proposed in this pull request?
In the PR, I propose to improve errors of the following error classes:
1. NON_PARTITION_COLUMN - `a non-partition column name` -> `the non-partition column`
2. UNSUPPORTED_SAVE_MODE - `a not existent path` -> `a non existent path`.
3. INVALID_FIELD_NAME. Quote ids to follow the rules https://github.com/apache/spark/pull/36621.
4. FAILED_SET_ORIGINAL_PERMISSION_BACK. It is renamed to RESET_PERMISSION_TO_ORIGINAL.
5. NON_LITERAL_PIVOT_VALUES - Wrap error's expression by double quotes. The PR adds new helper method `toSQLExpr()` for that.
6. CAST_INVALID_INPUT - Add the recommendation: `... Correct the syntax for the value before casting it, or change the type to one appropriate for the value.`

This is a backport of https://github.com/apache/spark/pull/36635.

### Why are the changes needed?
To improve user experience with Spark SQL by making error message more clear.

### Does this PR introduce _any_ user-facing change?
Yes, it changes user-facing error messages.

### How was this patch tested?
By running the affected test suites:
```
$ build/sbt "sql/testOnly org.apache.spark.sql.SQLQueryTestSuite"
$ build/sbt "sql/testOnly *QueryCompilationErrorsDSv2Suite"
$ build/sbt "sql/testOnly *QueryCompilationErrorsSuite"
$ build/sbt "sql/testOnly *QueryExecutionAnsiErrorsSuite"
$ build/sbt "sql/testOnly *QueryExecutionErrorsSuite"
$ build/sbt "sql/testOnly *QueryParsingErrorsSuite*"
```

Lead-authored-by: Max Gekk <max.gekkgmail.com>
Co-authored-by: Maxim Gekk <max.gekkgmail.com>
Signed-off-by: Max Gekk <max.gekkgmail.com>
(cherry picked from commit 625afb4e1aefda59191d79b31f8c94941aedde1e)
Signed-off-by: Max Gekk <max.gekkgmail.com>

Closes #36655 from MaxGekk/error-class-improve-msg-3-3.3.

Authored-by: Max Gekk <max.gekk@gmail.com>
Signed-off-by: Max Gekk <max.gekk@gmail.com>