More simple is to connect an external contactor or power relay which can handle the amps you need towards your inverter.
For example, with an 200A contactor or relay your inverter can pull 12Vx200A=2400Watt out of the battery.
Connect the contactor or relay switch-coil contacts on to the P- of the BMS and the main [+] of the battery.
Connect the contactor or relay switch contacts on to the main [+] of the battery and the [+] contact of the inverter.
When the BMS is triggered by it's safety settings, it will shut off, and then the contact or relay will also shut off.
The only thing you can not manage in this way, is the maximum current drawn from the battery via the contactor or relay.
You can simply manage this by using a
Smart Shunt and a
Smart Battery Protector, like my hyperlink examples from Victron.
Both can communicatie with each other via the Victron BT app, and there you can set all the safety settings for protection.
Your inverter will have a low voltage cut off protection, just like the Victron Battery Protector, so in this case double protection.
When you often use a big inverter in full power, the battery cells will get quite some load, and the cell balance could get tricky.
In this case you can also decide to use an
active cell balancer, to keep you cells balanced in a more powerfull way than the BMS.
The BMS can dissipate voltages with tiny currents, an active cell balancer can do this with higer currents, for faster balancing.
For the costs Will Prowse does not advise to use an active cell balancer in normal <1C load conditions, but with heavy loads you
might want to use one.
See
this topic with more or less the same question.