chore(profile): split build-gate commands per toolchain (#40 follow-through)

The repo hosts Kotlin at root and a Node app in frontend/, but the profile
still pointed every flat alias at npm — so a Kotlin run's auto-gate would
have run 'npm --prefix frontend run build'. #40 shipped [commands.<toolchain>]
resolution in 6e844ef1; this migrates the profile to actually use it.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

.correx/project.toml

@@ -14,13 +14,27 @@ test-all = "./gradlew check --rerun-tasks"
 test-module = "./gradlew :core:<module>:test --rerun-tasks"
 context-lookup = "python scripts/ctx.py <query>"
 epic-status = "bash scripts/epic-status.sh"
-# Build-gate aliases (BuildExpectation → commandAlias): MODULE→typecheck, PROJECT→build, TESTS→test.
+# Build-gate aliases (BuildExpectation → commandAlias): MODULE→typecheck, PROJECT→build, TESTS→test,
+# plus `setup` run before each gate. This repo hosts TWO toolchains — Kotlin at root, a Node app in
+# frontend/ — so the flat aliases below are the jvm default and the [commands.*] sections below take
+# precedence when the gate can tell what a stage wrote (#40, BuildGateToolchain.stageProducedToolchain).
 # The gate runner is whitespace-split / no-shell and runs at workspace_root (the repo), so `--prefix
-# frontend` targets the Node subproject without a `cd`. `npm run build` = `tsc && vite build` (npm's
+# frontend` targets the Node subproject without a `cd`.
-# own shell handles the &&), which fails on a dangling asset import — exactly the COMPLETED-lie hole.
+typecheck = "./gradlew compileKotlin"
-# QA runs clear frontend/ before each run, so node_modules is absent when the terminal build gate
+build = "./gradlew assemble"
-# fires. Without this the gate fails on missing deps instead of on the code it exists to verify.
+test = "./gradlew check"
-# `install`, not `ci`: a fresh scaffold has no package-lock.json yet.
+
+[commands.jvm]
+typecheck = "./gradlew compileKotlin"
+build = "./gradlew assemble"
+test = "./gradlew check"
+
+[commands.node]
+# `npm run build` = `tsc && vite build` (npm's own shell handles the &&), which fails on a dangling
+# asset import — exactly the COMPLETED-lie hole the terminal build gate exists to catch.
+# QA runs clear frontend/ before each run, so node_modules is absent when that gate fires; without
+# `setup` it fails on missing deps instead of on the code. `install`, not `ci`: a fresh scaffold has
+# no package-lock.json yet.
 setup = "npm --prefix frontend install"
 typecheck = "npm --prefix frontend run build"
 build = "npm --prefix frontend run build"