Hello,
Normally, when the "Provided by run-only user" option is selected, the email should be sent by the creator.

If this method is still not working, I recommend handling the email sending process directly through Power Apps. Please follow the steps below:
1.Please add the "Office365Outlook" connection first.

2.Then, insert your current setup into HTMLTEXT. You can use the following example:
"<p>Hello,<br>
I am requesting a/n <strong> " &TextRequestType.Value & "</strong> number to use for project # <strong>" & TextProjectNumber.Value & "</strong> - "&TextProjectTitle.Value&".<br>
<br>
<table>
<tr>
<td style='width: 15%;'><strong>Project Manager:</strong></td>
<td>"&TextProjectManager.Value&"</td>
</tr>
<tr>
<td style='background-color: yellow; padding: 2px;'><strong>Request Type:</strong></td>
<td>"&TextRequestType.Value&"</td>
</tr>
<tr>
<td><strong>Facility:</strong></td>
<td>"&TextFacility.Value&"</td>
</tr>
<tr>
<td><strong>Project #:</strong></td>
<td>"&TextProjectNumber.Value&"</td>
</tr>
<tr>
<td><strong>Project Title:</strong></td>
<td>"&TextProjectTitle.Value&"</td>
</tr>
<tr>
<td><strong>Vendor:</strong></td>
<td>"&TextVendor.Value&"</td>
</tr>
<tr>
<td><strong>Contract Type:</strong></td>
<td>"&TextContractType.Value&"</td>
</tr>
</table>
"
3.Next, add a button and run the function using the code example below:
Office365Outlook.SendEmail(
"huseyin_korhan@zetaleap.com",
"Project # "&TextProjectNumber.Value & " - " & TextRequestType.Value & " Request for " & TextVendor.Value,
HtmlText1.HtmlText,
{ IsHtml: true }
)
Once these steps are completed, the user logged into Power Apps can directly send emails to the relevant contacts.

