Determining which raw IR code to use for AC
It appears from the data you've posted, the remote is holding the presets for what the A/C unit needs to be doing when after every button is pressed.  This will keep the remote with LCD disply? in Sync with the A/C master.

Ie.  The remote is sending an entire setup string EVERY time ANY button is pressed.

Can you post a capture of an ON and OFF Raw's only?  Do not press any other buttons after pressing ON, or before pressing OFF.