The qualifications for a person are that they have
1. A mind - able to think and act upon their thinking
2. their own will - self identity
3. and emotions - able to react cognitively
As personal human beings we all have these qualities all of these are qualities. Another quality of being personal is that one has life. A person is identified as a self-conscious being, cognizant of its own existence and the existence of others who also have a self-identity. A will indicates the ability to think, to reason, a choice to act, having desire these are things we associate with self consciousness which is exclusive to Persons. All of these qualities the Holy Spirit has, just as the Son and Father. We find the Holy Spirit is the executive of the Father. He is co-creator of the universe, The author of divine Scripture, the generator of Christ’s humanity, the regenerator of the believer and the distributor of eternal life, for He also eternally exists.
The Holy Spirit is identified as a Person by John, using in the Greek the masculine ekeinos in Jn.16:13. The Holy Spirit is presented as a personal being with a self-identity different from both the Father, and the Son. As the Father and Jesus make this distinction when speaking of Him. He the Holy Spirit says “Separate Barnabas and Saul to me;” He also is identified as “I” in Acts 13:2.
A person also has a physical body.
God does not have this, nor does the Holy Spirit.
By the way, what you described as a “person” in your three points is also true of animals.
God and the Holy Spirit are both masculine, not because they are human persons, but because their masculinity transcends being a human.