Eventually the earth will be tidally locked to the moon (just like the moon is to the earth), and the moon will be in a higher orbit.
I guess the turbines will speed this up? As they’ll keep the bulge farther ahead of the moon.
EDIT: Wikipedia link https://en.m.wikipedia.org/wiki/Tidal_acceleration
Weirdly, the resulting pool of energy is pretty much the same size - wikipedia quotes the rotational kinetic energy of the Earth as being 2.138E29J.
So we're still talking about an insane amount of energy.
If you use 17.7TW as the total power consumption of all of humanity, if we were to somehow derive ALL of our energy needs from tidal generation, it would take 358 million years to deplete the rotational energy of the earth.
How's that? Can we consume it? What would be the reaction? Moon altering its orbit?
But yeah, it will have an effect; the other question to ask is, how significant is this effect, and how does it compare to other forms of power production, e.g. fossil fuels?
The global warming caused by fossil fuels has a bigger effect on the oceans; with decreasing salinity due to the melting of ice caps / glaciers, the gulf stream is slowing down and will eventually stop, causing distribution of heat across the planet to stop, causing the northern seas to cool down and the southern ones to heat up.