Seeing a similar issue, below are the last few lines of the launcher log
2021-04-28 09:39:37 jsonobjdl: Successfully retrieved package hc_crashhandler_win32:1.20210418.152332.4240
2021-04-28 09:39:37 jsonobjdl: Successfully retrieved package hc_crashhandler_win64:1.20210418.152359.4240
2021-04-28 09:39:37 jsonobjdl: Successfully retrieved package hc_data_live:1.20210426.12.4294
2021-04-28 09:39:37 jsonobjdl: Successfully retrieved package hc_bin_live_win32:1.20210427.5158.4298
2021-04-28 09:39:37 jsonobjdl: Successfully retrieved package hc_bin_live_win64:1.20210427.5535.4298
2021-04-28 09:39:37 jsonobjdl: Successfully retrieved package i24_piggs:1.0.2402
2021-04-28 09:39:37 pkginstall: Dependency conflict: i24_piggs:1.0.2402 cannot satisfy hc_beta:1.20210320.152156,1
2021-04-28 09:39:37 pkginstall: Upgrading dependant package hc_data_live:1.20210426.11.4294
2021-04-28 09:39:37 pkginstall: Upgrading dependant package hc_crashhandler_win64:1.20210418.152358.4240
2021-04-28 09:39:37 pkginstall: Upgrading dependant package hc_crashhandler_win32:1.20210418.152331.4240
2021-04-28 09:39:37 pkginstall: Upgrading dependant package hc_bin_live_win64:1.20210427.5534.4298
2021-04-28 09:39:37 pkginstall: Upgrading dependant package hc_bin_live_win32:1.20210427.5157.4298
2021-04-28 09:39:37 pstate: package hc_live:1.20210428.25049,1 transitioned from unknown to failed
*Update - bizarrely I ran the updater for the Beta client and I was then able to update the 'live' client without issue.
** Edit - Using the HC Launcher