In private, they are quietly and informally granted the real beginners gifts for those of their ranks. Another 95 doses of the foundation draught (if it takes them more than a hundred days and a hundred doses to complete their foundation and enter the first realm, their talent is too little for the family to fund further and they will have to find their own way - while the family won't cast them out it won't throw good cultivation resources after bad), 100 credits of the family scrip to be spent on whatever minor items and techniques, or saved for something greater, one chance to attempt to contact the house founder at the entrance of his mirror-workshop deep within the family mirror-mazed halls. The last and most important gift, however, is a choice, of one of seven family cultivation techniques, and one of seven family supplementary techniques, corresponding to the seven fundamental aspects of cultivation. They are but a sliver of the breadth of techniques the house possesses, but none of them are a mistake to learn.
The Martial foundational technique: The Still Water Reflection Meditation, a training regime which emphasizes flexibility and defence, a flowing style of dodges, redirections and counterattacks, which is a foundation for numerous combat arts in the mirror and water element. The Martial Supplementary technique: Broken Mirror Blade, a technique for conjuring a mirror-blade out of nothing. The blade is on-par with many enchanted blades of the first realm its sheer power, but the blades are cheap to conjure once the technique is integrated into your soul.
The Noble foundational technique: The Reflective Crown Process, which emphasizes reciprocal and equal relationships, symmetries of obligation in theme and terms. It's as egalitarian as a technique intended for a duchess can be, emphasizing fair dealing and strong foundations even in lord-vassal relationships. The Noble Supplementary technique: Silver Scrying of the Righteous, a technique that allows you to view people or places to which you have a bond through mirrored surfaces.
The Hidden foundational technique: Plain Perfection Doesn't See, a foundation for stealth emphasizing hiding in plain sight, manipulating the processes of perception - attention, light, and comprehension - directly. It's a versatile stealth style, but difficult to master, since, especially at the early stages, it only has indirect and subtle effects. The Hidden Supplementary technique: the simply-named Mirror Image, an illusion technique of startling potency, unfortunately limited only to creating visual illusions of things within the user's current perception.
The Virtuous foundational technique: The Ingenious Heart is a spiritual technique designed to reward the virtue of ingenuity. It has meaningful effects at widening cognition as long as you maintain the flow of good ideas, each novel thought chaining into the next in a flow of cleverness that if sustained, can permit rapid planning and the development of counters - or utter and catastrophic distraction. It has strong synergy with academic techniques, because of it's operation on a conceptual rather than a cognitive level. The Virtuous Supplementary technique, Invincible Coyote Prana, is a technique relating to the virtue of intentionality - as long as you're following an intentional, deliberate plan, rather than acting on reflex or impulse, it will give you an inertial physical protection against harm from the failure of this plan, a precious few moments of suspense to reconsider before you plunge off a cliff.
The Academic foundational technique: The Correspondence on Perfection, a technique that emphasizes parallels and symmetries, cached answers and parallel processing, efficiency in thought and motion and a mind of geometry and light. It's straightforward and capable, but it's straightforwardness can make it vulnerable to minds stranger, if less efficient. The Academic Supplementary Technique, Frozen Glass Reflection, which allows you to store reflections of memories or texts in prepared mirrors for later consultation.
The Beautiful foundational technique: Inward Facet Reflection, a cultivation of self-understanding and flawlessness. Introspection identifies flaws; polish eliminates them. Reflection identifies virtues; silvering shines them to mirror-bright perfection. Compared to other beautiful foundations, it tends to produce human forms and inhuman minds, but it's not particularly exceptional on either axis. The Beautiful Supplementary Technique, Flattering Mimicry Posture, is a technique of imitation, subtle body language and behaviour copying and complimenting the target to elicit sympathy, enhance companionship, and at a high level, enable disguises deepened by familiarity.
The Arcane foundational technique: "On Symmetry in Formations" is one third foundational technique, one third introduction to arcane theory for mirror-aligned crafters, and one third advice and ramblings, straight from the hand of the family founders. Every technique here was designed by him, but this is the first seeds of the techniques that he personally uses. The Arcane Supplementary Technique: The Least Sorcerous Mirror is another seed-art for the family's most famous techniques, an art that can reflect any techniques back on their caster. At this stage, it only works on techniques of the first realm, and only on techniques which have a physical presence to be reflected, but it's still a powerful defensive art.
And just in case it wasn't clear, they're not allowed to teach each other the techniques they choose. Consider it a test, of their ability to abide by restrictions placed on them by their teachers. Not everyone will be as generous as family to their students, so even if one day they will be true inheritors of these techniques with the right to teach them to anyone they choose, for now they are not. If they want more, they'll have to earn them.