Dear RemoteWarrior79,
Good day! Thank you for posting to Microsoft Community.
I do understand your query here and you are absolutely right, there are two option to insert emoji to your email in outlook.
- Option 1 Emojis: These are accessed using the Windows Emoji Picker (Win + .). this emoji feature is only available in windows 10 and 11, which is a windows emoji feature, that is consistent with those found in other Microsoft 365 apps like Teams. Outlook doesn't have it's own emoji by default to compose email, you can refer to Add flair to your email with emojis - Microsoft Support
- Option 2 Emojis: This emoji feature is an add-in which is installed in your Outlook and accessed through the Emoji task pane under the ‘Message’ tab in Outlook. These emojis are appear larger and take up more space and are not consistent with those found in other Microsoft 365 apps like Teams. You can refer to Emojis (microsoft.com)
Therefore, I can confirm that the second emoji is an external source (third party) plugin, where the user (you) installed into Outlook, it's not a built-in emoji, so you probably installed it in your outlook.
However, to remove the second emoji option, click on All apps -->Right click on emoji -->Uninstall-->Confirm to the prompt. Then, check if the emoji removed from your outlook. You can refer to the screenshot below:

I look forward to your update. Please feel free to let me know how it goes or if I got you wrong. If you still have any concerns, please let me know so I can provide more suggestions.
Thank you for your precious time. Have a nice day.
Sincerely,
Libeamlak | Microsoft Community Moderator