Quote:I can’t determine an exact clock time or Earth date for that specific sunrise with the information and capabilities I have.

To answer precisely, one would need:

• A detailed ephemeris for the Moon’s rotation and orbit.
  
• The selenographic coordinates and local topography of Tycho Crater.
  
• Software that can propagate the lunar geometry from 13 September 2018 onward and solve for when the Sun’s elevation at that location next crossed from below 0° to above 0°.
  

In principle, you could get this by:

• Using a professional ephemeris package (e.g., JPL Horizons via suitable software) to compute the Sun’s apparent position as seen from Tycho’s coordinates as a function of time.
  
• Including local horizon/topography (Tycho’s rim and central peak) to refine when direct sunlight first reaches the crater floor or central peak.
  
• Numerically finding the first time after 2018‑09‑13 when the solar altitude becomes positive at the chosen point inside Tycho.
  

Without access to those tools and data right now, I can’t give a reliable numeric answer; only this procedure to obtain it.