Effects of Exercise, Cognitive Training, and Their Combination in Institutionalized Older Adults

The goal of this clinical trial is to learn if physical exercise, cognitive stimulation, or a combination of both can improve mobility, cognitive function, and psychosocial well-being in institutionalized older adults aged 65 and older. The main questions it aims to answer are: * Does physical exercise improve strength, flexibility, balance, and mobility? * Does cognitive stimulation improve executive function and mental state? * Does combining both interventions provide greater benefits than either intervention alone? Researchers will compare the physical exercise group, the cognitive stimulation group, and the combined group to a control group that receives no active intervention to see which approach leads to the most improvement. Participants will: * Take part in either physical exercise, cognitive stimulation, or both, 3 times per week for 12 weeks * Complete assessments before the intervention, after 12 weeks, and again after 6 months * Answer questionnaires and perform physical and cognitive tests to measure changes in health and well-being