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

Statement
Suppose $$P$$ is a group of prime power order, and $$H$$ is an fact about::isomorph-normal coprime automorphism-invariant subgroup of $$P$$, i.e., $$H$$ is an fact about::isomorph-normal subgroup of $$P$$ and it is also coprime automorphism-invariant in $$P$$. In particular, $$H$$ is an fact about::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 $$\mathcal{F}$$.