Custom functions set Modified by to script owner

As a ZOHO administrator, I have created custom scripts that run in various situations like updating a field, let's say in the Accounts module.

In such cases the "Modified by" field is set to my name, although the record was modified by someone else. I suppose this is because I'm the script owner.

How can I make it keep the name of the person who actually modified the record?

This raises another question: if there are several automation actions triggered by the same event, what is the order of their execution?

I'd also like to know if rules triggered by "Create or Edit" of a record include "Field Update" or not.
That is, if I have a rule for editing a record, and one for updating a field in the same record, will both rules be triggered, and in which order?

Thanks.

Moderation Update:

I’m locking this post as a similar requirement is being discussed in another forum thread. Please follow the post linked below for further updates. https://help.zoho.com/portal/en/community/topic/crm-custom-function-updating-a-module-record-shows-the-super-admin-user-as-the-record-modifier

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