Verification of the Mathialagan routes

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final_review: Retains the scoped final review of the Theorem 3 route, the balanced lattice construction and the bounded Guth--Katz interfaces.

finalization_delta_review: Retains the review that extended the scoped final pass to the final living-record wording and the Proposition 20 clarification.

preparatory_review: Retains the preparatory assessment of the proposed proof routes and the obligations later checked in the final review.

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The final review records the scoped final pass for the Theorem 3 route, the lattice construction and the incidence interfaces. The finalization-delta review accepts the living-record wording and the Proposition 20 clarification. The preparatory review records the obligations set before the candidate was frozen.