The wikipedia page on generalized mixed models describes them as an "extension of" generalized linear models but doesn't mention regression. The latter Wikipedia page describes GLM as "a flexible generalization of ordinary linear regression". This helpful "INTRODUCTION TO GENERALIZED LINEAR MIXED MODELS" starts from a standard linear regression and then adds complications to get to GLMM. It sure makes GLMM sound like a sophisticated kind of regression. Would it be incorrect to describe it in that way? I'm worried that despite similarities, GLMM is different enough that describing it as a kind of regression would be incorrect.
(Answers to this question, which @Tim helpfully mentioned, are very useful in providing a broader context that is quite relevant. However, those answers don't specifically answer my question about GLMM per se. It's possible an the answer to my question is implied by what's said in those answers. If I knew enough to derive that implication on my own, I probably wouldn't need to ask my question!)