Move ESPTime into core esphome namespace (#4926)

* Prep-work for datetime entities

* Fix some includes and remove some restrictions on printing time on displays

* format

* format

* More formatting

* Move function contents

* Ignore clang-tidy

esphome/components/bedjet/bedjet_hub.cpp

@@ -442,7 +442,7 @@ uint8_t BedJetHub::write_notify_config_descriptor_(bool enable) {
 void BedJetHub::send_local_time() {
   if (this->time_id_.has_value()) {
     auto *time_id = *this->time_id_;
-    time::ESPTime now = time_id->now();
+    ESPTime now = time_id->now();
     if (now.is_valid()) {
       this->set_clock(now.hour, now.minute);
       ESP_LOGD(TAG, "Using time component to set BedJet clock: %d:%02d", now.hour, now.minute);

esphome/components/bedjet/bedjet_hub.h

@@ -13,6 +13,7 @@
 
 #ifdef USE_TIME
 #include "esphome/components/time/real_time_clock.h"
+#include "esphome/core/time.h"
 #endif
 
 #include <esp_gattc_api.h>