Fire trigger on creation of new item regardless of user role

Hi everyone,

I just created a flow in Power Automate which performs some operations on list items. I have chosen the trigger "When an item is created" which also works fine. However, it only fires when I as owner of the flow create a new item. I also added the Sharepoint as owner but if a normal user with member role creates an item the flow doesn't run. How can I ensure that the trigger does always fire and the flow runs for any user on the Sharepoint list, regardless of their role?

Thanks for any hint!