When it's the Attorney General of Canada who would have prosecuted the offence for which someone is applying for a review, it would be the Public Prosecution Service of Canada that would be interacting with the commission, not the minister personally. The function of reviewing applications that the Minister of Justice is currently empowered to do is completely being replaced with the commission. The minister will make recommendations for appointments that the Governor in Council will make to the commission.
On October 31st, 2023. See this statement in context.