The dryer doesn't need to reuse it's own heat since it will be used in summer only, out in the garage where it will be 80 to 100°F with 15 to 50% humidity.
The heat pump discharge will produce up to 18,000btu, if the dryer only uses 2/3 of that it's still over 3kw worth of heat.
If doing it this way makes the dryer take a little longer that's fine since it will be helping to cool the house.
This design goes against conventional design by actually helping cool the house. Every other design puts off heat.
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