fix: address Copilot review round 24 — a discriminator must be required

A distinct `const` does not make `oneOf` alternatives mutually exclusive
unless the property carrying it is required: two branches pinning an OPTIONAL
`kind` both match `{}`, so arguments omitting it satisfy more than one
alternative — exactly what `oneOf` forbids. The property must now be required
by the root or by every branch.

Also makes `propertiesOf` total (an unreadable `properties` reads as empty,
with a separate predicate for the one caller that must tell them apart), which
removes a row of unreachable `?? {}` fallbacks, and covers the value/type
comparisons the const checks rest on.

Signed-off-by: cliffhall <cliff@futurescale.com>

README.md

@@ -313,7 +313,7 @@ What it declines to flatten is as deliberate as what it flattens, and every case
 - **A union whose members are not all field-carrying object schemas** — including one whose member `type` rules objects out, since tool arguments are a JSON object and such a member can never match. A picker whose options render nothing is no better than no picker.
 - **A branch that restates a constraint the root already states.** The two are conjunctive, so root `minimum: 10` under branch `minimum: 0` is still 10, disjoint `enum`s leave nothing satisfiable, and `type: "string"` under `type: "number"` describes a value that cannot exist — rendering either side would accept what the schema rejects. A property both declare *compatibly* is merged rather than replaced, so a root's `minimum` survives a branch's `maximum`, and a disagreement about `title`/`description` is not a conflict at all.
 - **A composition member stating anything the merge cannot apply.** Only `type`, `properties` and `required` are folded in, so a member carrying a nested `allOf`/`anyOf`, a `not`, an `additionalProperties`, or a `$ref` would have that constraint erased along with the keyword — turning an unsatisfiable schema (`allOf: [false, …]` admits nothing) into a fillable form. `allOf` members are checked against the accumulated merge rather than the root alone, so two of them contradicting each other is caught even when neither contradicts the root.
-- **A `oneOf` whose alternatives are not mutually exclusive.** `oneOf` demands that *exactly one* alternative match, which flattening cannot preserve — the branches are offered as if any would do. It is only safe with a discriminator (a property every branch pins to a `const` of its own), so an undiscriminated `oneOf` is declined. `anyOf` makes no such claim and is offered either way.
+- **A `oneOf` whose alternatives are not mutually exclusive.** `oneOf` demands that *exactly one* alternative match, which flattening cannot preserve — the branches are offered as if any would do. It is only safe with a discriminator: a property every branch pins to a `const` of its own **and requires**, since an optional one leaves `{}` matching every branch. An undiscriminated `oneOf` is declined; `anyOf` makes no such claim and is offered either way.
 - **A union that adds fields under a restrictive root `additionalProperties`.** That keyword constrains whatever its *sibling* `properties` does not name, so a root `additionalProperties: false` rejects every field the branches add — flattening would move them beside the keyword, where they read as allowed. An empty schema (`{}`) constrains nothing and is treated as permissive.
 - **A schema carrying both `oneOf` and `anyOf`** — independent keywords a value satisfies *together*, not two spellings of one union, so reading one and dropping the other omits real constraints while looking complete. Satisfying both honestly means the cross product of their alternatives, which no real schema has yet asked for.
 - **`not`**, which is not interpreted at all: there is no faithful form for "anything except this".