My husband has vascular dementia and alzheimer’s
Crying can be a sign of depression, and/or it can also be a neurological condition called "Pseudobulbar Affect" which can occur with strokes, dementia, Alzheimer's, Parkinson's, traumatic brain injuries, ALS, MS, etc.
Here's a link to some good basic information from Mayo Clinic:
https://www.mayoclinic.org/diseases-conditions/...
And also a link to a more detailed article from the National Library of Medicine, which includes a section titled "Treatment" that might be helpful to you.
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC60...
Thank you.