[core] Replace std::bind with lambda in DelayAction (#14968)

esphome/core/base_automation.h

@@ -188,7 +188,7 @@ template<typename... Ts> class DelayAction : public Action<Ts...>, public Compon
     // Issue #10264: This is a workaround for parallel script delays interfering with each other.
 
     // Optimization: For no-argument delays (most common case), use direct lambda
-    // instead of std::bind to avoid bind overhead (~16 bytes heap + faster execution)
+    // to avoid overhead from capturing arguments by value
     if constexpr (sizeof...(Ts) == 0) {
       App.scheduler.set_timer_common_(
           this, Scheduler::SchedulerItem::TIMEOUT, Scheduler::NameType::NUMERIC_ID_INTERNAL, nullptr,
@@ -196,9 +196,9 @@ template<typename... Ts> class DelayAction : public Action<Ts...>, public Compon
           [this]() { this->play_next_(); },
           /* is_retry= */ false, /* skip_cancel= */ this->num_running_ > 1);
     } else {
-      // For delays with arguments, use std::bind to preserve argument values
+      // For delays with arguments, capture by value to preserve argument values
       // Arguments must be copied because original references may be invalid after delay
-      auto f = std::bind(&DelayAction<Ts...>::play_next_, this, x...);
+      auto f = [this, x...]() { this->play_next_(x...); };
       App.scheduler.set_timer_common_(this, Scheduler::SchedulerItem::TIMEOUT, Scheduler::NameType::NUMERIC_ID_INTERNAL,
                                       nullptr, static_cast<uint32_t>(InternalSchedulerID::DELAY_ACTION),
                                       this->delay_.value(x...), std::move(f),