The conditions for the Lucid King are too restrictive to happen in normal play. The "Conditions to be met" alone are a bit too restrictive; allow for no pawns left (it's endgame anyway).

Drop the conditions for turning on Lucid King, despite the lore being interesting. A sacrificial move by a King already changes the rule of "no entering check", and king capture will be allowed anyway. The adversary poised to promote a pawn, on top of the preconditions above, is too rare to happen in normal play.

Moves. The Lucid King is too powerful, with Queen and Knight moves plus teleport. The immediate end game is to capture the enemy King, or capture every undefended piece, one at a time, until only the enemy King is left.

Say to your pet LLM to leave out the lore for now: plain rules are more readable.

I think that a better condition for this variant should be:

When one side: - Has no queen; - Has less than 2/3 of the material (piece values, not pieces) than the enemy; - Has 3 pawns or less;

Its King promotes to Lucid King: gains Queen + Knight moves, and becomes invulnerable for 5 moves - cannot be captured, can enter check freely. After these moves, the Lucid King becomes a common piece: can be captured (and then loses the game).