Student pilot reported the pilot-controlled lighting at ANP Airport was not illuminating despite multiple attempts at getting it to work. Pilot executed a go-around to avoid collision with the surrounding trees.

Narrative

During a student night training flight at ANP (Lee Airport); my CFI and I were flying under VFR. Using the published procedure; we attempted to activate the pilot-controlled lighting (PCL) via CTAF. Despite multiple attempts from varying distances and altitudes; no runway lights illuminated; and the runway remained invisible on approach.The lights are supposed to operate until XB:00; and this failure occurred at approximately XA:20.While descending on what we believed to be the correct approach path; we were lower than ideal due to lack of visual cues. On short final; our landing light suddenly illuminated trees approximately 15 feet in front and slightly below us. We pulled up abruptly to avoid a collision and executed a go-around. On the second attempt - with extreme caution - we landed safely.After shutdown; we confirmed with another aircraft on the field that their PCL was also non-functional; confirming it wasn't pilot error. Another instructor on the field remarked that the issue 'happens from time to time' and expressed doubt that reporting it to airport personnel would have any effect.Recommendations: Inspect and maintain PCL systems at ANP to ensure reliability during operating hours. Issue a timely NOTAM when PCL is inoperative. Ensure that obstacle lighting near the approach end is functional - it was not visible during our approach. Trim surrounding trees near the runway threshold.