An article with some more (past and present) "state of the art": https://www.theb1m.com/video/a-short-history-of-bricklaying-robots https://www.theb1m.com/vide

An article with some more (past and present) "state of the art": https://www.theb1m.com/video/a-short-history-of-bricklaying-robots https://www.theb1m.com/video/a-short-history-of-bricklaying-... using adhesive (for thermal blocks) removes a lot of the variables, to have thermal efficient structure the smallest (thinner) the junction layer is, the better, and as a matter of fact various kind of adhesives are already replacing mortar in construction sites, with precision ultimately depending only on dimensions of the bricks used.