Second: If you actually read the paper, they freely admit that this isn't about minerals "running out", but more that they're becoming harder to extract - especially regarding more money / energy / water.
The classic issue with this is that these models are highly sensitive to technological change, which is in turn driven by the economic realities involved. We've all seen what chips, PV panels, etc. when these all align.
To wit, note that while there is a long analysis of how current mining practice is getting harder, there is no discussion of the pace of innovation in mining tech and the trends by which it would be adopted.
An example of one tech that addresses their copper ore grade issue is biomining [1], which is using microorganisms to process the ore. This isn't widespread yet, but is in development because the industry already knows this is a problem.
The mining industry and commodities more broadly actually suffer from boom and bust cycles with respect to their CapEx invested and payback period - ie everyone frantically fracks for gas until the price goes through the floor and they all go bankrupt. So resource extraction is more about economic viability than technical constraints like the author suggests.
TL;DR: We're not in danger of long-term shortages of minerals, just shocks like we're having with oil, but these pose no danger to encountering any "limits to growth" anytime soon.
[1] https://en.wikipedia.org/wiki/Biomining
* Corrected from "company" from comment below.