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_system/include/esp_private/eh_frame_parser.h

@@ -0,0 +1,27 @@
+/*
+ * SPDX-FileCopyrightText: 2020-2022 Espressif Systems (Shanghai) CO LTD
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ */
+
+#ifndef EH_FRAME_PARSER_H
+#define EH_FRAME_PARSER_H
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/**
+ * @brief Print backtrace for the given execution frame.
+ *
+ * @param frame_or Snapshot of the CPU registers when the program stopped its
+ *                 normal execution. This frame is usually generated on the
+ *                 stack when an exception or an interrupt occurs.
+ */
+void esp_eh_frame_print_backtrace(const void *frame_or);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif