Saints and Carr deal released $150M over 4 years $100M fully guaranteed

Am I correct on this point? Derek Carr does not factor into the Comp Pick formula for the 2024 draft because he was Released by the Raiders and therefore was not a Free Agent during the Free Agency period and his contract does not count towards the Comp Pick formula for 2024. I think I am correct on this. If so, it will be interesting to see if the Saints lose some free agents and if the formula can work in our favor for the 2024 draft.