You have a bunch of bigger problems that come to roost much sooner than this if you're using that much geothermal though,
At the micro scale, that is, for an individual geothermal well or source, not so much. Single wells or geothermal fields may be depleted or degraded.
Because heat conductivity of rock is very limited, extraction of that heat by some mechanism will eventually cool that rock below viable levels for power generation. For enhanced intensive geothermal energy --- drilling holes in rock to depths of multiple kilometers and circulating a working fluid (typically water) through the substrate --- that is thought to be on the order of 1--3 decades. After which the borehole is no longer viable and must be left to recover for some period of time, perhaps centuries.
For conventional (geyser / steam vent) geothermal, the limiting factor tends to be groundwater. The instance I'm most familiar with is The Geysers powerplant in northern California, which saw a roughly 40% reduction in capacity over several decades as the groundwater feeding the geyser system was depleted. That would have to be restored by some means.
Note too that there may be contamination issues in repeatedly cycling deep-layer water to the surface, particularly of heavy metals or radioactive isotopes. These include "sulfur, vanadium, silica compounds, chlorides, arsenic, mercury, nickel, and other heavy metals".
<https://www.ucsusa.org/resources/environmental-impacts-geoth...>