Modern split-system air conditioners are known for being quiet. A unit with a wide airflow range and multiple fan speeds is said to be quieter too.
On average, a split system takes about half a day and ducted around 2 days, give or take on the size of the property.
If your air conditioner is reverse cycle, it can both cool and warm your home, so can be used during winter.
HVAC may be an option. Whatever system you choose, it will need a high output, and you may want ceiling fans to improve airflow.
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