esp_hw_support/esp_system: Re-evaluate header inclusions and include directories

This commit updates the visibility of various header files and cleans up
some unnecessary inclusions. Also, this commit removes certain header
include paths which were maintained for backward compatibility.

components/esp_hw_support/include/compare_set.h

@@ -0,0 +1,27 @@
+/*
+ * SPDX-FileCopyrightText: 2015-2022 Espressif Systems (Shanghai) CO LTD
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ */
+
+#pragma once
+
+#include <stdint.h>
+#include <stdbool.h>
+#include "esp_cpu.h"
+#include "soc/soc_memory_types.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+static inline void __attribute__((always_inline)) compare_and_set_native(volatile uint32_t *addr, uint32_t compare, uint32_t *set)
+{
+    cpu_ll_compare_and_set_native(addr, compare, set);
+}
+
+void compare_and_set_extram(volatile uint32_t *addr, uint32_t compare, uint32_t *set);
+
+#ifdef __cplusplus
+}
+#endif