In the same way, the Spirit helps us in our weakness. We do not know what we ought to pray for, but the Spirit himself intercedes for us through wordless groans. 27And he who searches our hearts knows the mind of the Spirit, because the Spirit intercedes for God’s people in accordance with the will of God.You are showing again what I first interpreted about your belief. Even the Father is not the primary notion of God for you. You believe in a Monad that you call Spirit, whose mind split into Father and Son. Some believe as you do, but add a third split. In fact, those like you believe in one Person as God, who plays many persons.
I would think the Spirit in me intercedes from the mind of Christ as it was sent in His name. Feel free to disagree.
Clearly the Father has a Spirit He calls His own.
Matt 10:20
for it will not be you speaking, but the Spirit of your Father speaking through you.
...those who listen and learn from the FATHER come to me.
Spoken of by Jesus as the Fathers Promise. In the last days I will pour out MY Spirit. Acts 1;Acts 2
How do you distingish the one Spirit of God as the Spirit of Christ or the Spirit of the Father is up to you but to me the differences are found in whose will is being conveyed from the mind of the Spirit. I hope you believe Jesus has His own mind not the Fathers and the Father has His own mind not the Son's. As the Father is able to keep things from the Son.Matthew 24:36
My Spirit knows my thoughts but is me not another person with their own mind.
The Spirit searches all things, even the deep things of God. 11For who knows a person’s thoughts except their own spirit within them? In the same way no one knows the thoughts of God except the Spirit of God.