I have a ~2 hour layover at LAX and would like to venture out and treat myself to some In-N-Out Burger instead of the usual lounge fare

Will be landing and departing at T7 (LAX), which is where the Polaris lounge is located. Will they let me leave some (cabin size) luggage items in the lounge so I don't have to shlep them back through security? I seem to remember reading something about storage lockers in that lounge.
If not, is there another short-term luggage storage option in the vicinity that you could recommend?
Thanks!