Hot water everywhere but the shower
It sounds like the shower has a thermostatic mixing valve. These do have an adjustment to change the temperature limit if you want hotter water. I must say however that showering with very hot water may feel great, but is not really good for the skin.

Research the matter, but I would say that the temperature of full hot from a shower should not be over 110 F, but evidently the code is 120 F maximum. https://www.phcppros.com/articles/1828-hot-water-system-temperatures-and-the-code