You're missing the condition to check for large or small. Also, your small condition should not be and - it should be OR. If you use AND, then users have to be in BOTH of those groups in order to edit the fields.
For small, it should be like this:
For Large, it should be:
You don't care if it's large or small for the large condition - you only care that it's a Global Facilitator, since they can always edit unless you have some other setting besides large and small.
If you have a bunch of fields, then instead of adding this to each one, you can create a section with these conditions that HIDES the section, or if you want people to see the fields without being able to edit, then create separate views - one for Local Facilitators and one for Global Facilitators. You switch to the corresponding view based off the current user's affiliation, and that view will have the fields that person needs to be able to edit with others being all read-only without conditions. You would also turn off the ability to manually switch views.