Exclude exposed filter for one content type in my view
It looks like you want to make more distinct and/or groups. If using Drupal 7, here is a clear explanation of how to do it (see the accepted answer):
How can I do with Views and Drupal 7 what the Views Or module does in Drupal 6?

If using Drupal 6, the Views Or module can do the same thing.

If I understand your problem, the solution would be to put the first 2 Content Types in a group with the Taxonomy Term filters, then use a separate OR group for your 3rd Content Type.