feat(869-c1): activation-capability probe (Part of #869)

Part of #869

Mos (id-11) Gate-16 merge: independent 3-round APPROVE @c5a2bcc5, author id2 != approver id11, CI green wp1973.

Co-authored-by: jason.woltje <jason@diversecanvas.com>
Co-committed-by: jason.woltje <jason@diversecanvas.com>

packages/mosaic/src/commands/launch.ts

@@ -806,7 +806,14 @@ function launchRuntime(runtime: RuntimeName, args: string[], yolo: boolean): nev
   process.exit(0); // Unreachable but satisfies never
 }
 
-function defaultLeaseBrokerSocket(env: NodeJS.ProcessEnv = process.env): string {
+/**
+ * Resolve the lease broker's control socket path. Exported (in addition to
+ * being used internally by execLeaseGatedRuntime) so the C1 activation probe
+ * (lease-activation-probe.ts) can perform the same resolution when checking
+ * whether the broker supervisor is reachable — detection only, this never
+ * connects to the socket itself.
+ */
+export function defaultLeaseBrokerSocket(env: NodeJS.ProcessEnv = process.env): string {
   if (env['MOSAIC_LEASE_BROKER_SOCKET']) return env['MOSAIC_LEASE_BROKER_SOCKET'];
   const runtimeDir = env['XDG_RUNTIME_DIR'];
   if (runtimeDir) return join(runtimeDir, 'mosaic-lease', 'broker.sock');
@@ -895,7 +902,12 @@ function delegateToScript(scriptPath: string, args: string[], env?: Record<strin
  * bundled in the @mosaicstack/mosaic npm package (always matches the installed
  * CLI version) over the deployed copy in ~/.config/mosaic/ (may be stale).
  */
-function resolveTool(...segments: string[]): string {
+/**
+ * Exported so the C1 activation probe (lease-activation-probe.ts) can resolve
+ * the same lease-broker launcher/daemon artifacts execLeaseGatedRuntime()
+ * uses, for detection-only supervisor presence checks.
+ */
+export function resolveTool(...segments: string[]): string {
   try {
     const req = createRequire(import.meta.url);
     const mosaicPkg = dirname(req.resolve('@mosaicstack/mosaic/package.json'));