A Research Study Looking at the Effect of Semaglutide on the Immune System and Other Biological Processes in People With Alzheimer's Disease

Inclusion Criteria:

1. Male or female, aged 55-75 years (both inclusive) at the time of signing the informed consent
2. Mild cognitive impairment (MCI) or mild dementia of the Alzheimer's type according to the National Institute on Aging- Alzheimer's Association (NIA-AA) 2018 criteria
3. Clinical dementia rating (CDR) global score of 0.5 or 1 at screening (visit 1)
4. Amyloid positivity established with either historical amyloid positron emission tomography (PET) or historical cerebrospinal fluid (CSF) Aβ1-42 or historical CSF Aβ1-42/Aβ1-40 (historical data within the last 5 years) or blood sample for amyloid biomarker (Aβ42/Aβ40 ratio and p-tau217/np-tau217 ratio) at screening (visit 1)
5. Treated with acetylcholinesterase inhibitors (approved for the treatment of Alzheimer's disease) and on stable dose for greater than 90 days before screening (visit 1)

Exclusion Criteria:

1. Brain magnetic resonance imaging (MRI) scan suggestive of clinically significant structural central nervous system (CNS) disease confirmed by local read (example cerebral large-vessel disease [large vessel (cortical) infarcts greater than 10 millimeter (mm) in diameter], prior macro-haemorrhage [greater than 1centimeter cube (cm^3)], cerebral vascular malformations, cortical hemosiderosis, intracranial aneurism(s), intracranial tumours, changes suggestive of normal pressure hydrocephalus)
2. Brain MRI scan suggestive of significant small vessel pathology confirmed by local read and defined as greater than 1 lacunar infarct and/or white matter hyperintensity (WMH) Fazekas13 scale greater than 2, (white matter [WM] greater than 20 mm) in the deep white matter and periventricular regions
3. History or evidence of autoimmune diseases such as inflammatory bowel disease, rheumatoid arthritis, lupus, glomerulonephritis, psoriasis (but not limited to): Any other medical condition that would require use of systemic corticosteroids or immunosuppressants or immunostimulants in the 12 months prior to screening (visit 1)
4. Received a vaccine product (including booster) 4 weeks prior to screening (visit 1) or expected to receive a vaccine product (including booster) before visit 5
5. Use of any systemic immunomodulating drugs (small molecules and/or biologics) in the last 12 months prior to screening (visit 1) or anticipated use of such drugs during study intervention period 1 (i.e., during the first 12 weeks of treatment until visit 5), such as corticosteroids for systemic use, immunostimulants and immunosuppressants