PureOS Installer fails when selecting partitions

There is discussion in this forum that Bluetooth simply doesn’t work with PureOS because there is no free driver / firmware for the Bluetooth component of the wireless module. You should ask Purism directly to confirm that that is still the current state.

If so, given the history that you document above (you might need a rest), I would hesitate to suggest that you try to work around that by installing non-free software. It depends whether you really need Bluetooth. If you do, there are other topics on doing that. Bluetooth not working out of the box - #7 by Phil_Weir