Merge branch 'ci_impact_analysis' into integration

Resolved conflict in esphome/platformio_api.py:
- Kept refactored objdump_path and readelf_path from ci_impact_analysis
- Preserved analyze_memory_usage function from integration branch

esphome/__main__.py

@@ -468,7 +468,9 @@ def write_cpp_file() -> int:
 def compile_program(args: ArgsProtocol, config: ConfigType) -> int:
     from esphome import platformio_api
 
-    _LOGGER.info("Compiling app...")
+    # NOTE: "Build path:" format is parsed by script/ci_memory_impact_extract.py
+    # If you change this format, update the regex in that script as well
+    _LOGGER.info("Compiling app... Build path: %s", CORE.build_path)
     rc = platformio_api.run_compile(config, CORE.verbose)
     if rc != 0:
         return rc