This is my point. Although perhaps unprovable, imo it is possible that the moon's inner core is creating tides of the 'solid moon rock' and therefore internal friction, which is slowing it's spin. Do you concur that this is a possiblility, albeit very remote?
No.
First there is no point in focusing on the "moon's inner core" as the tidal flexing is ever less as you approach the center of the moon. I.e. most of the tidal dispation (if it existed, which it essentially does not) on the moon would be at the surface.
Secondly if the moon's orbit were circular (almost is) and it is locked with orbit and spin periods equal (as it is) then there is zero disipation due to Earth's tidal forces (gradient of the Earth's gravity field). This is because every cubic centimeter of "moon rock" has a CONSTANT gravitational stress on it.
Imagine your thumb and finger are compressing a solid rubber ball. So long as the force you are applying is CONSTANT, the ball just has a steady deformation and is not getting warmer as there is zero internal disapation. That is exactly the condition of moon in circular orbit. NO Tide - just a static defromation - why the moon is not a sphere.
Because the real oribit is not quite circular "nutation" exists and there may be an extremely small AC component with ~28 day period, due to the Earth's gravitational force on the moon.* I doubt if this AC flexing of moon rocks even exceeds thier elastic limit. - if that is true then even with it there is no tidal disipation in the real moon orbit due to Earth's gravity field.*
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* You probably do not realize it but the sun's gravity acting on the moon is stronger than the Earth's is. And during the year the moon's distance from the sun changes from max to min about 13 times. That varying stress on the moon is more important than the tiny nutation made modulation of stress on moon rocks.
PS while I like to teach and do not think you are trolling, I am disinclined to teach you more, until you exhibit some efforts at self learning. You have much too little knowledge of the facts and too a strong tendency to invent facts, some of which are clearly nonsense.