<!-- Thank you for your contribution! -->
<!-- Unless your change is trivial, please create an issue to discuss the change before creating a PR -->

## Change Summary

This PR fixes #7840: now different specifications of a generic TypeAliasType produce different definitions in pydantic schema which prevents "overwrites" of other specifications with the same origin.

## Related issue number

<!-- WARNING: please use "fix #123" style references so the issue is closed when this PR is merged. -->
* Fix #7840 

## Checklist

* [x] The pull request title is a good summary of the changes - it will be used in the changelog
* [x] Unit tests for the changes exist
* [x] Tests pass on CI
* [x] Documentation reflects the changes where applicable
* [x] My PR is ready to review, **please add a comment including the phrase "please review" to assign reviewers**


Selected Reviewer: @sydney-runkle
Make generic TypeAliasType specifications produce different schema definitions. <!-- Thank you for your contribution! -->
<!-- Unless your change is trivial, please create an issue to discuss the change before creating a PR -->

## Change Summary

This PR fixes #7840: now different specifications of a generic TypeAliasType produce different definitions in pydantic schema which prevents "overwrites" of other specifications with the same origin.

## Related issue number

<!-- WARNING: please use "fix #123" style references so the issue is closed when this PR is merged. -->
* Fix #7840 

## Checklist

* [x] The pull request title is a good summary of the changes - it will be used in the changelog
* [x] Unit tests for the changes exist
* [x] Tests pass on CI
* [x] Documentation reflects the changes where applicable
* [x] My PR is ready to review, **please add a comment including the phrase "please review" to assign reviewers**


Selected Reviewer: @sydney-runkle
from pydantic_settings import BaseSettings, SettingsConfigDict


class Settings(BaseSettings):
    foo: str


s = Settings()

s = Settings(foo='test', _case_sensitive=True, _env_prefix='test__', _env_file='test')

s = Settings(foo='test', _case_sensitive=1, _env_prefix=2, _env_file=3)
# MYPY: error: Argument "_case_sensitive" to "Settings" has incompatible type "int"; expected "Optional[bool]"  [arg-type]
# MYPY: error: Argument "_env_prefix" to "Settings" has incompatible type "int"; expected "Optional[str]"  [arg-type]
# MYPY: error: Argument "_env_file" to "Settings" has incompatible type "int"; expected "Optional[Union[Path, str, List[Union[Path, str]], Tuple[Union[Path, str], ...]]]"  [arg-type]


class SettingsWithConfigDict(BaseSettings):
    bar: str

    model_config = SettingsConfigDict(env_file='.env', env_file_encoding='utf-8')


scd = SettingsWithConfigDict()

from pydantic_settings import BaseSettings, SettingsConfigDict


class Settings(BaseSettings):
    foo: str


s = Settings()

s = Settings(foo='test', _case_sensitive=True, _env_prefix='test__', _env_file='test')

s = Settings(foo='test', _case_sensitive=1, _env_prefix=2, _env_file=3)
# MYPY: error: Argument "_case_sensitive" to "Settings" has incompatible type "int"; expected "Optional[bool]"  [arg-type]
# MYPY: error: Argument "_env_prefix" to "Settings" has incompatible type "int"; expected "Optional[str]"  [arg-type]
# MYPY: error: Argument "_env_file" to "Settings" has incompatible type "int"; expected "Optional[Union[Path, str, List[Union[Path, str]], Tuple[Union[Path, str], ...]]]"  [arg-type]


class SettingsWithConfigDict(BaseSettings):
    bar: str

    model_config = SettingsConfigDict(env_file='.env', env_file_encoding='utf-8')


scd = SettingsWithConfigDict()
