Q: Clicking noise under dash, but not constant. Weather doesn't matter. on 2004 Toyota Camry

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Clicking noise under dash. Sounds like something to do with air flow. Actuator which has a lever that may be stuck? Motor running the air flow thru the vents?
(1) Answer
You most likely pinpointed the issue.

The blend or mode doors or actuators are to blame, but finding out which is a matter of tracing the sound, removing the components, and inspecting for damage.

In some cases it is necessary to remove the dashboard to access the HVAC central housing where these components are located. Other times they are accessible from the floorboard.

Depending on the location, you may want to seek a professional to change the broken part, unless you feel comfortable tackling the job.