fix: remove internal use of deprecated suppress

[Revnoplex]

Summary

#3062 deprecated the use of suppress in favour of suppress_embeds but not all usages were removed internally leading to internally caused deprecation warnings. This pr removes usages of suppress and adds suppress_embeds as a parameter as needed to stop these warnings happening internally.

Information

• This PR fixes an issue.
• This PR adds something new (e.g. new method or parameters).
• This PR is a breaking change (e.g. methods or parameters removed/renamed).
• This PR is not a code change (e.g. documentation, README, typehinting,
  examples, ...).

Checklist

• I have searched the open pull requests for duplicates.
• If code changes were made then they have been tested.
  • I have updated the documentation to reflect the changes.
• If type: ignore comments were used, a comment is also left explaining why.
• I have updated the changelog to include these changes.
• AI Usage has been disclosed.
  • If AI has been used, I understand fully what the code does

[pycord-app]

Thanks for opening this pull request!
Please make sure you have read the Contributing Guidelines and Code of Conduct.

This pull request can be checked-out with:

git fetch origin pull/3154/head:pr-3154
git checkout pr-3154

This pull request can be installed with:

pip install git+https://github.com/Pycord-Development/pycord@refs/pull/3154/head

[Paillat-dev]

Thanks for the PR !

[Paillat-dev]

@Revnoplex Since the original PR hasn't been released yet you can omit the changelog, it has one already concerning the deprecation

[Paillat-dev]

ltgm; thx