Can I execute a data map process through groovy using a diffent ID

Summary:

User need to run a data map but we cannot give them admin access

Content (please ensure you mask any confidential information):

We have a data map that is set up to run on a set schedule, but there are times that this needs to run sooner. We were able to set the process up in an task, but the user does not have access to run data maps, and we cannot give that group Service admin rights to do this. We need a way to have the user run this without giving them full access. We set up a Groovy rule to execute the data map, but the user get an error stating they cannot run a data map as