Does God Suffer With Us?

God is perfection and to me perfection doesn’t include any form of suffering. I associate God with heaven, obviously and I imagine heaven to be a place void of suffering. Possibly that is because I associate suffering with pain and negativity. Maybe it comes down to how we define suffering? Like goodness, how can we know if God is good if we aren’t even capable of understanding goodness?
Parallel to understanding why God shouldn’t or doesn’t suffer it also makes sense to me, and even more sense that he does. It comforts me when I am hurting to think that God is hurting with me. I find strength in the fact that God’s heart breaks with mine. God watches his people suffer and it doesn’t sit right with me to think that he is not hurt in some way by it. Suffering can be a good thing when you look at the end result. It produces strength and perseverance. Jesus suffered while he was a man on Earth. He suffered both physically and mentally. I’ve never been a parent and I know God doesn’t act in the same way as humans but I know that a parent’s heart hurts for their child when their child suffers, and it would make sense to me that God suffered as he watched his son suffer (and the whole trinity deal—they are all the same, so maybe God experienced suffering in that sense?). Also, we are created in God’s image and are image bearers. Suffering is such a huge part of this world and of each person’s life. Yet is suffering evil? If it is than it can not be apart of God—but he is not causing the suffering only suffering with us. Well that is more questions than answers but I would conclude that God does suffer with his children, but I still need to think more about it.
Romans 8:17 --Now if we are children, then we are heirs—heirs of God and co-heirs with Christ, if indeed we share in his sufferings in order that we may also share in his glory.
2 Corinthians 1:5 -- For just as the sufferings of Christ flow over into our lives, so also through Christ our comfort overflows.