A3h item 1: the tool runner serves a held seat's approvals from its gate's record

The seat verb approvals is the gate's own, served wherever a marked verb is: the runner answers it by caller from the
calls its gate holds, with no bundle naming it; a marked verb already reaches the gate by caller. Tested with zsh's
node-login-shell execute as the case.

Builds: design 47 G §677, §697; lead answers A-264, A-265, A-266, A-271

Claude-Session: https://claude.ai/code/session_01NcbgfGKaxw984XyAPfLm4h

node-tools/internal/runtime/gate.go

@@ -18,6 +18,8 @@ type Gate interface {
 	Unserved(module, fingerprint string, registered []string) []string
 	// Run is a call through the gate: run is called only when the call may run now, once.
 	Run(call approval.Call, run func() (any, error)) (any, error)
+	// Approvals is the seat verb `approvals` for a caller: the calls the gate holds, its acts and claims (A-265, A-271).
+	Approvals(caller string) (approval.Approvals, error)
 }
 
 // gatedRun is how a handler calls a tool: through the gate where there is one.
@@ -32,6 +34,14 @@ func (c *consumers) gated(call approval.Call, t launch.Tool, caller string) (any
 	return c.gate.Run(call, run)
 }
 
+// approvalsOf is how the runner answers a held seat's verb `approvals`: from its gate's record, nil without a gate.
+func (r *runner) approvalsOf() func(caller string) (any, error) {
+	if r.events.gate == nil {
+		return nil
+	}
+	return func(caller string) (any, error) { return r.events.gate.Approvals(caller) }
+}
+
 // WithGate serves every call through the approval gate.
 func WithGate(g Gate) Option { return func(c *consumers) { c.gate = g } }