Balancing bonus followers against feats

So I was thinking about a campaign where everyone plays a wizard. Or at least wizard adjacent, so I would allow Wizard, eldritch knight, arcane trickster, an intelligence based warlock with pact of the tome and artificer. Lvl 3 start.

I was thinking it would be set in a magic University (not strixhaven). The players would be able to pick a major to study that would give them a feat or some other ability.

What I have thought so far for majors:

• Alchemy - chef, poisoner

• Realm travel - fey touched, shadow touched, keen mind, resilient, eldritch adept, metamagic adept

• Mechanics - see below

• Medicine - healer

• Reanimation - see below

• War Magic - elemental adept, war caster, metamagic adept

• Weapon mastery - sheild master, sentinel, PAM, crossbow expert, gunner, slasher, piercer, crusher

• Dungeon Delving - mobile, skulker, dungeon delver, skill expert

Mechanics and Reanimators: They would be able to build a minion, either a construct or an undead. It would have d8 hit dice equal to the players level, point buy stats with two +1's, shares the players proficiency. They can also have proficiency bonus additional features, with the following options.

• heavy armor proficiency
• 2 skills/tools
• Martial proficiency (or equivalent damage)
• expertise in one tool or skill
• telepathic bond (anywhere on same plane)
• multiattack (lvl 6 minimum)
• fighting style
• Large size
• +2 to attribute

What are peoples thoughts? I can see these are not balanced against a feat. Is there another way I could balance this?