debugger: move ProbeInspectorSession and helpers to separate files

Signed-off-by: Joyee Cheung <joyeec9h3@gmail.com>
PR-URL: #63013
Reviewed-By: Jan Martin <jan.krems@gmail.com>
Reviewed-By: Jacob Smith <jacob@frende.me>
Reviewed-By: Chengzhong Wu <legendecas@gmail.com>
Reviewed-By: Aditi Singh <aditisingh1400@gmail.com>

Author: joyeecheung