Improved energy storage and transmission grids can substantially increase the amount of wind and solar that can be used for base load electricity. There is a lot of work to be done on the storage side, both to address the generation/demand mismatch and for electric vehicles. Improved grids can be built now, if there is the will to do so.
We haven’t come close to maxing out geothermal - the limit you discuss is for near-surface geothermal. There are approaches to using deep geothermal energy, but they have not been seriously put on the table for further development and demonstration. Whether they can actually do the job or not remains to be seen, but at least conceptually, there is nothing about deep geothermal that we are not technically able to do now.
Nuclear is not the only carbon-free alternative. I think it will be needed, but it will not be straightforward to build the number of plants that are needed. For nuclear and other alternatives to coal and oil, there are some serious infrastructure issues that need to be addressed, including the number of adequately trained operators, welders, and others needed to build and operate the units; the capacity to fabricate the major components such as reactor vessels and so on at the rate they are needed; and access to enough water for cooling. Even this assumes that the NIMBY attitudes are turned around, which is doubtful.