Thanks for answering and for trying to contextualize the answer as well. I think the latter in particular was very helpful. You are very much correct in your assertion that term limits are not a part of many democratic institutions, and I do not see any inherent issue with this. I imagine it might also depend on the particular mechanics and dynamics of the systems in question. Countries such as Germany and those with prime ministers often have a system of representation that allows for smaller political parties, which I think makes it harder for a single candidate to stay as head of state for a prolonged time (though I know of at least one case of this happening even if it isn't necessarily a bad thing).

I did not know about the way you (to me) seem to choose representatives who then iteratively elects further candidates representing them. If my understanding is correct, then I would say that the first election seems to form the basis for the subsequent ones, which I think is a neat idea. However, that would also imply that how the first election is conducted is quite important for the composition of government. What limits are there to who can be a candidate in the first and second stages of the elections? I assume of course you had to make some simplifications, so I might be off track a bit here.