Here's why:
* Participial Phrase: It's built around the present participle "skulking" and includes the prepositional phrase "out the meeting" to complete the action.
* Adjective: It describes the way someone left the meeting (stealthily, secretly). You could imagine this phrase being used in a sentence like this: "The disgruntled employee, skulking out the meeting, left without saying goodbye."
Let me know if you'd like to see other examples!