I don't know what size fuse to use.
Those look like ready-made batteries.
Do they have a built it breaker?
I don't understand the principle of Growatt 3000TL charging the battery. Will it interfere with the use of 12V when the Growatt 3000TL charges the battery?
No.
Do I need to put a main fuse on the red line before the battery is connected to BUSBAR?
I think I see 2 store bought batteries that may already have a built in breaker, confirm?
4/0 will work and you will be able to use the 300amp fuse with it by aybc standards.
The batteries have the Anderson female connector so I looked for 4/0 wire with Anderson connector on the internet but I can not find it.
There is an anderson connector rated for 350 amps but the ones on your batteries are likely rated for 175 amps and therefore not compatible.
How many fused connection points are on the busbar?
If there are 4 or more fused connection points
and your batteries include a breaker then just connect the batteries directly to the fuse positions along with your growatt and buck converter.
Use the same gage wire and anderson connector that is already on the battery.
Use a 200 or 215 amp fuse for each battery.
Please confirm that the wire from each battery is 2 awg?
2 awg will be fine and a 200 or 215 amp fuse as well.
So it will be 2 awg to everything except the buck converter and the same fuses.
Which is nice cause you won't need to keep spares for a bunch of different ratings.