Running a 12v battery off a Bluetti is a bit of an odd one — you're essentially doing a DC-DC conversion with extra steps, and the efficiency losses can be significant depending on which output you're using.
If you're pulling from the Bluetti's 12v car socket, be aware most of these are limited to around 10A (120W max), which is fine for trickle charging but won't do much for anything above 100Ah in a reasonable timeframe. The DC output on newer Bluetti units like the AC200P is cleaner, but you're still burning efficiency going AC→battery→DC→battery.
Personally I'd question the whole topology here. What's the actual goal — keeping a leisure battery topped up in a static caravan or van? Because if so, a small dedicated solar charge controller feeding that 12v battery directly makes far more sense than routing through a power station.
That said, if the Bluetti is just acting as a temporary bridge — say you're waiting on a proper Victron MPPT to arrive — then connecting via the 12v output with an appropriate DC-DC charger like a Victron Orion-Tr in between would give you proper charge profiling rather than just shoving unregulated voltage at the battery.
What battery chemistry are you working with? AGM, LiFePO4? That changes the conversation considerably, especially around the charge voltages the Bluetti's 12v port will actually deliver.
Also worth checking: is the Bluetti's 12v output regulated or just a raw tap? Some units vary quite a bit under load.
What's your wider setup — anyone else here run this kind of config as anything more than a temporary bodge?