I would assume that for any given tool you could make a "tool maker" tool.

For any given time period N, if it takes > 0 time or effort to make a tool, then there are provably less possible tools than infinity for sure.

If we consider time period of length infinity, then it is less clear (I don’t have room in the margins to write out my proof), but since near as we can tell we don’t have infinity time, does it matter?