PowerShell Command for Azure App Service Deployment Returns 403 Forbidden Error

The following PowerShell command used for deploying an App Service is returning a runtime error that wasn't occurring before:

Invoke-RestMethod -Uri $kuduApiUrl -Headers @{Authorization = ("Bearer {0}" -f $accessToken)} -Method POST -InFile $ZipPackageFile -ContentType "multipart/form-data"

The error logs indicate a 403 Forbidden response:

##[debug]
##[debug]Script stack trace:
##[debug]at Invoke-ZipDeploy, D:\a\_work\1\ps\Publish-AzureWebApp.ps1: line 101
##[debug]at <ScriptBlock>, D:\a\_work\1\ps\Publish-AzureWebApp.ps1: line 163
##[debug]at <ScriptBlock>, D:\a\_work\_temp\9c96cb1f-d880-449c-9bec-3f6559156ed8.ps1: line 39
##[debug]at <ScriptBlock>, <No file>: line 1
##[debug]Exception:
##[debug]Microsoft.PowerShell.Commands.HttpResponseException: Response status code does not indicate success: 403 (Forbidden).
##[debug] at System.Management.Automation.MshCommandRuntime.ThrowTerminatingError(ErrorRecord errorRecord)

What permissions might have changed that could be causing this issue? PFA the PS file which is getting used in CD pipeline.