How to find the Moon's node longitude crossing

Question

Yes, I asked this in the past but I got sidetracked and did other things. Now my question is, can one find the exact time when "north node" reaches a certain longitude?

I am looking for 15.125 or 15° 07' 30" and happen to know exactly when this will happen but only after playing with the dates and time in this little "app" (it is used in astrology, but I do not know anything about astrology nor care to know). Anyway I got to this after many changes in the date and time so obviously it's not something I want to keep doing.

swetest -pt -b10.5.2024 -ut21:33:24 
date (dmy) 10.5.2024 greg.   21:33:24
 UT     version 2.10.03-deb1
UT:  2460441.398194444     delta t: 69.065689 sec
TT:  2460441.398993816
Epsilon (t/m)     23°26'18.6220   23°26' 9.9980
Nutation          -0° 0' 5.1606    0° 0' 8.6241
true Node         15° 7'29.9990    0° 0' 0.0000    0.002408994

Then I tried to figure it the old fashion way, but the time is not accurate because I could only find the start DMS and end DMS for the day without seconds so it's a little off. This is how that works:

    start at 0:00 15°13 == 54,780 arc seconds
    end at 24:00 15° 7 == 54,420 arc seconds
    total arc seconds for 24 hours 360 arc seconds
15.125 == 54,450 arc seconds
54,780 - 
54,450
   330
330/360 = 0.9167 x 24 = 22(10 PM) which is a little off.

I also tried to work on this code but failed thus far:

import numpy as np
from typing import Callable
import pytz
import skyfield.searchlib
from skyfield import api, timelib
from skyfield.jpllib import SpiceKernel, ChebyshevPosition
from skyfield.vectorlib import VectorSum
from skyfield.framelib import ecliptic_frame
def ecliptic_longitude_exceeds(
        longitude: float,
        target: str|VectorSum|ChebyshevPosition,
        ephemeris: SpiceKernel) -> Callable[[timelib.Time], np.array]:
    """
    Creates functions that check whether target ecliptic longitude exceeds
    value at a specified time
    :param longitude: Ecliptic Longitude in decimal degrees
    :param target: Object to be checked
    :param ephemeris: Ephemeris to be used.
    :return: find_discrete-compatible function
    """
earth = ephemeris['earth']
target = ephemeris[target] if isinstance(target, str) else target

def function(time: timelib.Time) -> np.array:
    """
    :param time: Time of Observation
    :return: Array of booleans indicating whether ecliptic longitude > longitude
    """
    observation = earth.at(time).observe(target).apparent()
    _, observed_longitude, _ = observation.frame_latlon(ecliptic_frame)
    return observed_longitude.degrees > longitude

function.step_days = 60

return function



def main():
ephemeris = api.load('de421.bsp')
ts = api.load.timescale()
utc = pytz.timezone("UTC")
# Set start and stop dates to May 9 and May 11, 2024
start, stop = ts.utc(2024, 5, 9), ts.utc(2024, 5, 11)

moon_exceeds = ecliptic_longitude_exceeds(
    longitude=15.125, target="moon", ephemeris=ephemeris  
)

times, states = skyfield.searchlib.find_discrete(start, stop, moon_exceeds)

longitude_times = list(time for time, in_state
                       in zip(times.astimezone(utc), states)
                       if in_state)

print('\n'.join(str(lt) for lt in longitude_times))



if name == 'main':
    main()