Thanks for the question. Sounds like you’re working hard which is great.
Training Peaks will send you ‘zone updates’ periodically when you’ve done a hard workout. I would click ‘update’ and have it update in your TP account. Not much happens, but it keeps your efforts up to date.
TP will alert you of Anaerobic Threshold (aka Lactate Threshold) HeartRate changes & FTP changes.
Don’t confuse AeT with AnT… AeT is aerobic (~80% of max); AnT is anaerobic (~90% of max).
Keep up the good work!