Isomorph-normal coprime automorphism-invariant implies weakly closed for any fusion system

ANALOGY: This is an analogue in fusion systems of a fact encountered in group. The old fact is: isomorph-normal coprime automorphism-invariant of Sylow implies weakly closed.
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Statement

Suppose $P$ is a group of prime power order, and $H$ is an Isomorph-normal coprime automorphism-invariant subgroup (?) of $P$, i.e., $H$ is an Isomorph-normal subgroup (?) of $P$ and it is also coprime automorphism-invariant in $P$. In particular, $H$ is an Isomorph-normal coprime automorphism-invariant subgroup of group of prime power order (?).

Then, for any fusion system ${\mathcal {F}}$ on $P$, $H$ is a weakly closed subgroup for ${\mathcal {F}}$.