Gas plants are only the most expensive in the simple cycle configuration. Combined cycle plants are competitive with other forms of baseload generation. The trouble is the response time.
With day ahead forecasting, we can try to turn that peak load into base load. Grid operations are a non trivial part in how this AI energy situation plays out.
Batteries are an even bigger deal. You can completely stop building single stage peaker gas turbines when it gets economical to just drop a 2GW / 1 GWh battery pack next to every gas plant. When demand spikes, you just discharge the battery while you heat soak the steam turbine and the drum to prepare it for increased load.