4X 6V/225AH Lead Acid configured for 12V provides you with a Gross of 225AH Capacity (at best) if you only discharge to 50% which is what FLA tolerates. Fortunately, LFP does not have that limit and you can use 100% of the capacity. Having Batteries in Parallel divides the Charge & Discharge between them and this can be handy to keep the strain on batteries down while improving the performance.
12V/3000W Inverter is pretty much the Max you can use @ 12V because at 12V/3000W it has to pull just a bit over 250A (accounting for losses).
You have options:
Using 2x 12V/100AH LFP Batteries will provide 200AH and would be capable of delivering 200A for 1 hour. These could also take 100A Charge for 2 hours.
Using 1x 12V/200AH LFP will accomplish the same as above but the form factor will be double the size of the above pair.
There are Many Sizes of "prebuilt" batteries up to 12V/300AH but of course it is reflected in the price.
NOTE: Take Measurements of your battery compartment Length, Width & Height and look at the various battery packs out there and check to make sure it will fit... Some folks forget and that results in Blue Air !
The solar input with one 300W panel is woefully low ! This is certainly something to consider as well. I will also point out that LFP does charge much faster than FLA but it still needs the oomph behind it and of course, it is relative to the size of the battery system.
Here is a link to LFP Batteries reviewed by Will, there are several 12V models.
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Now you "could" build your own 12V LFP Battery and save some cash "IF YOU HAVE THE TOOLS" because if you have to buy tools then the costs add up quick. Nothing crazy is needed but there are basic required tools and basic skills. This guide I wrote a while back will answer many questions:
https://diysolarforum.com/resources/luyuan-tech-basic-lifepo4-guide.151/ For 12V you need 4 Cells, a BMS and a Casing/Box to put the goodies in. There are LFP cells available from 10AH to 300AH (larger also but way more $$ also avail). At present the Most Popular cells for Battery Pack building are 280AH & 304AH in general. * ALERT * There are a LOT of Vendors selling cells, there are several Known Good vendors which the membership here has dealt with over the years, DO NOT IMPULSE BUY ANYTHING, Ask First & Check it can save you a crap load of heartache & bux to go with it.
MOST IMPORTANTLY !
BUY Nothing until you have Triple Checked everything and know what you are getting into... If in doubt ASK, there is No Such Thing as a Stupid Question except for the one that is not asked !
Hope it helps, Good Luck