The amount of time you use the laptop can make or break your intended system, as will the amount and duration of sunlight hitting those panels.
The Hotpot could also be a deal breaker.
AGMS enjoy higher recharging rates than their flooded counterparts. It is practically a requirement that they occasionally recieve a higher amp recharge rate every 5 to 7 deep cycles.
Some AGM's are limited to 30 amps per 100Ah of capacity, but they still enjoy charging rates upto these levels when the battery is at its most depleted, and the alternator is the easiest way to achieve these rates and solar is great for attaining the regular 100% charge afterwards, as getting from 80% to 100% charged takes about 4 hours, no matter how powerful the charging source might be.
One can skip the alternator recharging, at the cost of battery life. How much is the variable and will be different for each battery in each system in each usage.
The deeper the discharge cycle, the more important it becomes to be able to satisfy the AGM's greedy need to be high amp recharged regularly.
AGMS tend to get painted with super battery status due to their price, but really they are more finicky and get all petulant when their desires are not met. It is more important to recharge a AGM battery to 100% ASAP, as often as possible than it is with a flooded/wet battery, as partial state of charge cycling is harder on an AGM battery, and they cannot be equalized like a flooded battery can, which is like a slap across the face to a capacity compromised flooded battery.
The Lesser$ AGM batteries are generally those with a 30%( 30 amps per 100AH of capacity) upper limits on Charging amps. A thickly wired alternator CAN easily exceed this.
The Higher$$ AGM batteries like Odyssey, Northstar, and Lifeline have no Limits on Charging amps, they can accept 500 amps into a 100AH battery. These batteries absolutely require high amp recharges when deeply cycled though and as such do not make great solar only recharge batteries.
Lifeline says 20% minimum when deeply cycled. Odyssey says 40%. Northstar is more vague as to their minimum charge amps, but mine appears to behave significantly better the higher amperage I can muster.
Keep in mind these recommendations are for 'Ideal' battery longevity. One can and likely should seek less than ideal just for $anity's sake and just plan on replacing the battery more often.
But at the opposite end, an AGM battery, or any lead acid battery can fail to yield acceptable lifespan if it never gets what it wants and is chronically undercharged. Achieving 100% regularly is the key. How 100% is achieved for best longevity is a grey area and will be different in each system/usage, and with each battery brand, and can only be definitively determined by the user, and only when it comes time to replace the battery, whenever that might be.